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## Bridson, Martin R.

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 Author ID: bridson.martin-r Published as: Bridson, Martin R.; Bridson, M. R.; Bridson, Martin Homepage: https://www.maths.ox.ac.uk/people/martin.bridson External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND
 Documents Indexed: 113 Publications since 1991, including 4 Books
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#### Co-Authors

 35 single-authored 13 Vogtmann, Karen 9 Miller, Charles Frederick III 8 Wilton, Henry John Rutley 7 Howie, James 5 Baumslag, Gilbert 5 Reid, Alan W. 5 Short, Hamish 4 Gilman, Robert H. 4 Kochloukova, Dessislava Hristova 3 Kramer, Linus 3 Kropholler, Peter H. 3 Rémy, Bertrand 3 Tweedale, Michael 2 Brady, Noel 2 de la Harpe, Pierre 2 Groves, Daniel P. 2 Grunewald, Fritz J. 2 Leary, Ian James 2 Martin, Gaven J. 2 Riley, Timothy R. 2 Wise, Daniel T. 1 Alonso, Juan Miguel 1 Arzhantseva, Goulnara N. 1 Burillo, José 1 Conder, Marston D. E. 1 Elder, Murray J. 1 Evans, David M. 1 Farb, Benson 1 Forester, Max 1 Gersten, Stephen M. 1 Gruenberg, Karl Walter 1 Haefliger, André 1 Hillman, Jonathan Arthur 1 Hinkkanen, Aimo 1 Holt, Derek F. 1 Januszkiewicz, Tadeusz 1 Kleptsyn, Victor A. 1 Liebeck, Martin Walter 1 Llosa Isenrich, Claudio 1 Löh, Clara 1 McReynolds, David Ben 1 Minasyan, Ashot 1 Pittet, Christophe 1 Reeves, Lawrence D. 1 Salamon, Simon Montague 1 Schick, Thomas 1 Segal, Daniel 1 Shankar, Krishnan 1 Spitler, Ryan 1 Šunić, Zoran 1 Świątkowski, Jacek 1 Wade, Richard D.
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#### Serials

 5 Bulletin of the London Mathematical Society 5 Mathematische Annalen 5 International Journal of Algebra and Computation 5 Oberwolfach Reports 4 Commentarii Mathematici Helvetici 4 Journal of Algebra 4 Proceedings of the London Mathematical Society. Third Series 3 Israel Journal of Mathematics 3 Geometriae Dedicata 3 Proceedings of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 3 Groups, Geometry, and Dynamics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Topology 2 Geometry & Topology 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Computer and System Sciences 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal of the Australian Mathematical Society. Series A 1 Journal of Group Theory 1 Journal of the European Mathematical Society (JEMS) 1 Grundlehren der Mathematischen Wissenschaften 1 London Mathematical Society Lecture Note Series 1 Oxford Graduate Texts in Mathematics 1 Science China. Mathematics 1 Forum of Mathematics, Sigma
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#### Fields

 106 Group theory and generalizations (20-XX) 56 Manifolds and cell complexes (57-XX) 16 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 4 Topological groups, Lie groups (22-XX) 4 Algebraic topology (55-XX) 3 Functions of a complex variable (30-XX) 2 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

98 Publications have been cited 2,073 times in 1,709 Documents Cited by Year
Metric spaces of non-positive curvature. Zbl 0988.53001
Bridson, Martin R.; Haefliger, André
1999
Semihyperbolic groups. Zbl 0823.20035
Alonso, Juan M.; Bridson, Martin R.
1995
Geodesics and curvature in metric simplicial complexes. Zbl 0844.53034
Bridson, Martin R.
1991
Subgroups of direct products of limit groups. Zbl 1196.20047
Bridson, Martin R.; Howie, James; Miller, Charles F. III; Short, Hamish
2009
The geometry of the word problem. Zbl 0996.54507
Bridson, Martin R.
2002
On the finite presentation of subdirect products and the nature of residually free groups. Zbl 1290.20024
Bridson, Martin R.; Howie, James; Miller, Charles F. III
2013
Grothendieck’s problems concerning profinite completions and representations of groups. Zbl 1083.20023
Bridson, Martin R.; Grunewald, Fritz J.
2004
There is only one gap in the isoperimetric spectrum. Zbl 0971.20019
2000
Structure and finiteness properties of subdirect products of groups. Zbl 1167.20016
Bridson, Martin R.; Miller, Charles F. III
2009
The optimal isoperimetric inequality for torus bundles over the circle. Zbl 0852.20031
Bridson, M. R.; Gersten, S. M.
1996
Normalisers in limit groups. Zbl 1139.20037
Bridson, Martin R.; Howie, James
2007
Determining Fuchsian groups by their finite quotients. Zbl 1361.20037
Bridson, M. R.; Conder, M. D. E.; Reid, A. W.
2016
The Chabauty space of closed subgroups of the three-dimensional Heisenberg group. Zbl 1159.22001
Bridson, Martin R.; de la Harpe, Pierre; Kleptsyn, Victor
2009
Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra. Zbl 1228.20031
Brady, Noel; Bridson, Martin R.; Forester, Max; Shankar, Krishnan
2009
Fibre products, non-positive curvature, and decision problems. Zbl 0973.20034
Baumslag, Gilbert; Bridson, Martin R.; Miller, Charles F. III; Short, Hamish
2000
On the semisimplicity of polyhedral isometries. Zbl 0928.52007
Bridson, Martin R.
1999
The subgroups of direct products of surface groups. Zbl 1048.20009
Bridson, Martin R.; Howie, James; Miller, Charles F. III; Short, Hamish
2002
On the existence of flat planes in spaces of non-positive curvature. Zbl 0840.53033
Bridson, Martin R.
1995
Automorphism groups of free groups, surface groups and free Abelian groups. Zbl 1184.20034
Bridson, Martin R.; Vogtmann, Karen
2006
The quadratic isoperimetric inequality for mapping tori of free group automorphisms. Zbl 1201.20037
Bridson, Martin R.; Groves, Daniel
2010
Semisimple actions of mapping class groups on CAT(0) spaces. Zbl 1204.30030
Bridson, Martin R.
2010
Automorphisms of automorphism groups of free groups. Zbl 0959.20027
Bridson, Martin R.; Vogtmann, Karen
2000
Deficiency and Abelianized deficiency of some virtually free groups. Zbl 1131.20020
Bridson, Martin R.; Tweedale, Michael
2007
Actions of automorphism groups of free groups on homology spheres and acyclic manifolds. Zbl 1223.20033
Bridson, Martin R.; Vogtmann, Karen
2011
On Hausdorff-Gromov convergence and a theorem of Paulin. Zbl 0846.20038
Bridson, M. R.; Swarup, G. A.
1994
Formal language theory and the geometry of 3-manifolds. Zbl 0873.20026
Bridson, Martin R.; Gilman, Robert H.
1996
Mapping class groups and outer automorphism groups of free groups are $$C^{*}$$-simple. Zbl 1064.46052
Bridson, Martin R.; de la Harpe, Pierre
2004
Context-free languages of sub-exponential growth. Zbl 1013.68123
Bridson, Martin R.; Gilman, Robert H.
2002
Conjugacy of finite subsets in hyperbolic groups. Zbl 1083.20032
Bridson, Martin R.; Howie, James
2005
Polynomial Dehn functions and the length of asynchronously automatic structures. Zbl 1046.20027
Bridson, Martin R.
2002
The symmetries of outer space. Zbl 1037.20025
Bridson, Martin R.; Vogtmann, Karen
2001
Infinite groups with fixed point properties. Zbl 1197.20034
Arzhantseva, Goulnara; Bridson, Martin R.; Januszkiewicz, Tadeusz; Leary, Ian J.; Minasyan, Ashot; Świątkowski, Jacek
2009
Homomorphisms from automorphism groups of free groups. Zbl 1049.20021
Bridson, Martin R.; Vogtmann, Karen
2003
Fractional isoperimetric inequalities and subgroup distortion. Zbl 0963.20018
Bridson, Martin R.
1999
Malnormality is undecidable in hyperbolic groups. Zbl 1018.20035
Bridson, Martin R.; Wise, Daniel T.
2001
Subgroups of direct products of elementarily free groups. Zbl 1127.20027
Bridson, Martin R.; Howie, James
2007
On the dimension of CAT(0) spaces where mapping class groups act. Zbl 1270.20046
Bridson, Martin R.
2012
On the geometry of normal forms in discrete groups. Zbl 0792.20036
Bridson, Martin R.
1993
Finitely presented subgroups of automatic groups and their isoperimetric functions. Zbl 0910.20023
Baumslag, Gilbert; Bridson, Martin R.; Miller, Charles F. III; Short, Hamish
1997
$$\mathcal{VH}$$ complexes, towers and subgroups of $$F\times F$$. Zbl 0942.20009
Bridson, Martin R.; Wise, Daniel T.
1999
On the subgroups of semihyperbolic groups. Zbl 1053.20038
Bridson, Martin R.
2001
Non-positive curvature and complexity for finitely presented groups. Zbl 1108.20041
Bridson, Martin R.
2006
Combings of semidirect products and 3-manifold groups. Zbl 0783.20020
Bridson, M. R.
1993
On the geometry of the automorphism group of a free group. Zbl 0836.20045
Bridson, Martin R.; Vogtmann, Karen
1995
Profinite rigidity and surface bundles over the circle. Zbl 1439.57006
Bridson, Martin R.; Reid, Alan W.; Wilton, Henry
2017
Isoperimetric inequalities for the fundamental groups of torus bundles over the circle. Zbl 0802.20034
Bridson, M. R.; Pittet, Ch.
1994
The triviality problem for profinite completions. Zbl 1360.20020
Bridson, Martin R.; Wilton, Henry
2015
Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities. Zbl 0926.20026
Bridson, Martin R.
1999
Asymptotic cones and polynomial isoperimetric inequalities. Zbl 0929.20032
Bridson, Martin R.
1999
Volume gradients and homology in towers of residually-free groups. Zbl 1404.20043
Bridson, Martin R.; Kochloukova, Dessislava H.
2017
Actions of higher-rank lattices on free groups. Zbl 1237.20027
Bridson, Martin R.; Wade, Richard D.
2011
The Dehn functions of $$\mathrm{Out}(F_n)$$ and $$\operatorname{Aut}(F_n)$$. Zbl 1259.20048
Bridson, Martin R.; Vogtmann, Karen
2012
On the subgroups of right-angled Artin groups and mapping class groups. Zbl 1428.20037
Bridson, Martin R.
2013
Dimension of elementary amenable groups. Zbl 1368.20068
Bridson, Martin R.; Kropholler, Peter H.
2015
Combings of groups and the grammar of reparameterization. Zbl 1044.20018
Bridson, Martin R.
2003
Length functions, curvature and the dimension of discrete groups. Zbl 0990.20026
Bridson, Martin R.
2001
Finite presentation of fibre products of metabelian groups. Zbl 1024.20028
Baumslag, Gilbert; Bridson, Martin R.; Holt, Derek F.; Miller, Charles F. III
2003
Limit groups, positive-genus towers and measure-equivalence. Zbl 1182.37004
Bridson, Martin R.; Tweedale, Michael; Wilton, Henry
2007
The rhombic dodecahedron and semisimple actions of $$\operatorname{Aut}(F_n)$$ on $$\text{CAT}(0)$$ spaces. Zbl 1260.20063
Bridson, Martin R.
2011
Decision problems and profinite completions of groups. Zbl 1223.20025
Bridson, Martin R.
2011
Subgroups of direct products of two limit groups. Zbl 1193.20052
Bridson, Martin R.; Howie, James
2007
Subgroup separability in residually free groups. Zbl 1158.20013
Bridson, Martin R.; Wilton, Henry
2008
Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag. Zbl 1334.20030
Bridson, Martin R.; Reid, Alan W.
2015
Finiteness properties for subgroups of $$\text{GL}(n,\mathbb{Z})$$. Zbl 0957.20028
Bridson, Martin R.
2000
A remark about actions of lattices on free groups. Zbl 0964.22011
Bridson, Martin R.; Farb, Benson
2001
Recognition of subgroups of direct products of hyperbolic groups. Zbl 1054.20013
Bridson, Martin R.; Miller, Charles F. III
2004
Quasiregular self-mappings of manifolds and word hyperbolic groups. Zbl 1131.20031
Bridson, Martin; Hinkkanen, Aimo; Martin, Gaven
2007
Weak commutativity and finiteness properties of groups. Zbl 1445.20028
Bridson, Martin R.; Kochloukova, Dessislava H.
2019
Cofinitely Hopfian groups, open mappings and knot complements. Zbl 1259.20047
Bridson, Martin R.; Groves, Daniel; Hillman, Jonathan A.; Martin, Gaven J.
2010
A remark about combings of groups. Zbl 0795.20016
Bridson, Martin R.; Gilman, Robert H.
1993
Optimal isoperimetric inequalities for abelian-by-free groups. Zbl 0843.57002
Bridson, Martin R.
1995
The isomorphism problem for profinite completions of finitely presented, residually finite groups. Zbl 1309.20025
Bridson, Martin R.; Wilton, Henry
2014
The conjugacy and isomorphism problems for combable groups. Zbl 1034.20037
Bridson, Martin R.
2003
Free and fragmenting filling length. Zbl 1117.20033
Bridson, Martin R.; Riley, Tim R.
2007
Abelian covers of graphs and maps between outer automorphism groups of free groups. Zbl 1261.20035
Bridson, Martin R.; Vogtmann, Karen
2012
Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams. Zbl 1165.49040
Bridson, Martin; Riley, Timothy
2009
On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups. Zbl 1270.20047
Bridson, Martin R.; Reeves, Lawrence
2011
Regular combings, nonpositive curvature and the quasiconvexity of Abelian subgroups. Zbl 0802.20033
Bridson, Martin R.
1993
Profinite rigidity, fibering, and the figure-eight knot. Zbl 1452.57013
Bridson, Martin R.; Reid, Alan W.
2020
The virtual first Betti number of soluble groups. Zbl 1368.20035
Bridson, Martin R.; Kochloukova, Dessislava H.
2015
On the growth of groups and automorphisms. Zbl 1103.20025
Bridson, Martin R.
2005
On the absence of cohomological finiteness in wreath products. Zbl 0922.20035
Baumslag, Gilbert; Bridson, Martin R.; Gruenberg, Karl W.
1998
On groups whose geodesic growth is polynomial. Zbl 1252.20040
Bridson, Martin R.; Burillo, José; Elder, Murray; Šunić, Zoran
2012
The Schur multiplier, profinite completions and decidability. Zbl 1206.20031
Bridson, Martin R.
2010
Geometric and cohomological methods in group theory. Papers from the London Mathematical Society symposium on geometry and cohomology in group theory, Durham, UK, July 2003. Zbl 1197.20001
Bridson, Martin R. (ed.); Kropholler, Peter H. (ed.); Leary, Ian J. (ed.)
2009
Controlled embeddings into groups that have no non-trivial finite quotients. Zbl 0922.20045
Bridson, Martin R.
1998
On the difficulty of presenting finitely presentable groups. Zbl 1244.20033
Bridson, Martin R.; Wilton, Henry
2011
Kodaira fibrations, Kähler groups, and finiteness properties. Zbl 1432.32020
Bridson, Martin R.; Llosa Isenrich, Claudio
2019
Actions of arithmetic groups on homology spheres and acyclic homology manifolds. Zbl 1307.57019
Bridson, Martin R.; Grunewald, Fritz; Vogtmann, Karen
2014
A condition that prevents groups from acting nontrivially on trees. Zbl 1151.20018
Bridson, Martin R.
2008
Constructing presentations of subgroups of right-angled Artin groups. Zbl 1297.20031
Bridson, Martin R.; Tweedale, Michael
2014
Absolute profinite rigidity and hyperbolic geometry. Zbl 1455.57028
Bridson, Martin; McReynolds, David Ben; Reid, Alan; Spitler, Ryan
2020
Non-positive curvature in group theory. Zbl 0922.20044
Bridson, Martin R.
1999
Invitations to geometry and topology. Zbl 1002.57002
Bridson, Martin R. (ed.); Salamon, Simon M. (ed.)
2002
Direct factors of profinite completions and decidability. Zbl 1173.20022
Bridson, Martin R.
2009
The torsion-free rank of homology in towers of soluble pro-$$p$$ groups. Zbl 1429.20022
Bridson, Martin R.; Kochloukova, Dessislava H.
2017
Cube complexes, subgroups of mapping class groups and nilpotent genus. Zbl 1393.57001
Bridson, Martin R.
2017
Algorithms determining finite simple images of finitely presented groups. Zbl 1446.20051
Bridson, Martin R.; Evans, David M.; Liebeck, Martin W.; Segal, Dan
2019
Profinite rigidity, fibering, and the figure-eight knot. Zbl 1452.57013
Bridson, Martin R.; Reid, Alan W.
2020
Absolute profinite rigidity and hyperbolic geometry. Zbl 1455.57028
Bridson, Martin; McReynolds, David Ben; Reid, Alan; Spitler, Ryan
2020
Weak commutativity and finiteness properties of groups. Zbl 1445.20028
Bridson, Martin R.; Kochloukova, Dessislava H.
2019
Kodaira fibrations, Kähler groups, and finiteness properties. Zbl 1432.32020
Bridson, Martin R.; Llosa Isenrich, Claudio
2019
Algorithms determining finite simple images of finitely presented groups. Zbl 1446.20051
Bridson, Martin R.; Evans, David M.; Liebeck, Martin W.; Segal, Dan
2019
Profinite rigidity and surface bundles over the circle. Zbl 1439.57006
Bridson, Martin R.; Reid, Alan W.; Wilton, Henry
2017
Volume gradients and homology in towers of residually-free groups. Zbl 1404.20043
Bridson, Martin R.; Kochloukova, Dessislava H.
2017
The torsion-free rank of homology in towers of soluble pro-$$p$$ groups. Zbl 1429.20022
Bridson, Martin R.; Kochloukova, Dessislava H.
2017
Cube complexes, subgroups of mapping class groups and nilpotent genus. Zbl 1393.57001
Bridson, Martin R.
2017
Determining Fuchsian groups by their finite quotients. Zbl 1361.20037
Bridson, M. R.; Conder, M. D. E.; Reid, A. W.
2016
The triviality problem for profinite completions. Zbl 1360.20020
Bridson, Martin R.; Wilton, Henry
2015
Dimension of elementary amenable groups. Zbl 1368.20068
Bridson, Martin R.; Kropholler, Peter H.
2015
Nilpotent completions of groups, Grothendieck pairs, and four problems of Baumslag. Zbl 1334.20030
Bridson, Martin R.; Reid, Alan W.
2015
The virtual first Betti number of soluble groups. Zbl 1368.20035
Bridson, Martin R.; Kochloukova, Dessislava H.
2015
The isomorphism problem for profinite completions of finitely presented, residually finite groups. Zbl 1309.20025
Bridson, Martin R.; Wilton, Henry
2014
Actions of arithmetic groups on homology spheres and acyclic homology manifolds. Zbl 1307.57019
Bridson, Martin R.; Grunewald, Fritz; Vogtmann, Karen
2014
Constructing presentations of subgroups of right-angled Artin groups. Zbl 1297.20031
Bridson, Martin R.; Tweedale, Michael
2014
On the finite presentation of subdirect products and the nature of residually free groups. Zbl 1290.20024
Bridson, Martin R.; Howie, James; Miller, Charles F. III
2013
On the subgroups of right-angled Artin groups and mapping class groups. Zbl 1428.20037
Bridson, Martin R.
2013
On the dimension of CAT(0) spaces where mapping class groups act. Zbl 1270.20046
Bridson, Martin R.
2012
The Dehn functions of $$\mathrm{Out}(F_n)$$ and $$\operatorname{Aut}(F_n)$$. Zbl 1259.20048
Bridson, Martin R.; Vogtmann, Karen
2012
Abelian covers of graphs and maps between outer automorphism groups of free groups. Zbl 1261.20035
Bridson, Martin R.; Vogtmann, Karen
2012
On groups whose geodesic growth is polynomial. Zbl 1252.20040
Bridson, Martin R.; Burillo, José; Elder, Murray; Šunić, Zoran
2012
Actions of automorphism groups of free groups on homology spheres and acyclic manifolds. Zbl 1223.20033
Bridson, Martin R.; Vogtmann, Karen
2011
Actions of higher-rank lattices on free groups. Zbl 1237.20027
Bridson, Martin R.; Wade, Richard D.
2011
The rhombic dodecahedron and semisimple actions of $$\operatorname{Aut}(F_n)$$ on $$\text{CAT}(0)$$ spaces. Zbl 1260.20063
Bridson, Martin R.
2011
Decision problems and profinite completions of groups. Zbl 1223.20025
Bridson, Martin R.
2011
On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups. Zbl 1270.20047
Bridson, Martin R.; Reeves, Lawrence
2011
On the difficulty of presenting finitely presentable groups. Zbl 1244.20033
Bridson, Martin R.; Wilton, Henry
2011
The quadratic isoperimetric inequality for mapping tori of free group automorphisms. Zbl 1201.20037
Bridson, Martin R.; Groves, Daniel
2010
Semisimple actions of mapping class groups on CAT(0) spaces. Zbl 1204.30030
Bridson, Martin R.
2010
Cofinitely Hopfian groups, open mappings and knot complements. Zbl 1259.20047
Bridson, Martin R.; Groves, Daniel; Hillman, Jonathan A.; Martin, Gaven J.
2010
The Schur multiplier, profinite completions and decidability. Zbl 1206.20031
Bridson, Martin R.
2010
Subgroups of direct products of limit groups. Zbl 1196.20047
Bridson, Martin R.; Howie, James; Miller, Charles F. III; Short, Hamish
2009
Structure and finiteness properties of subdirect products of groups. Zbl 1167.20016
Bridson, Martin R.; Miller, Charles F. III
2009
The Chabauty space of closed subgroups of the three-dimensional Heisenberg group. Zbl 1159.22001
Bridson, Martin R.; de la Harpe, Pierre; Kleptsyn, Victor
2009
Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra. Zbl 1228.20031
Brady, Noel; Bridson, Martin R.; Forester, Max; Shankar, Krishnan
2009
Infinite groups with fixed point properties. Zbl 1197.20034
Arzhantseva, Goulnara; Bridson, Martin R.; Januszkiewicz, Tadeusz; Leary, Ian J.; Minasyan, Ashot; Świątkowski, Jacek
2009
Extrinsic versus intrinsic diameter for Riemannian filling-discs and van Kampen diagrams. Zbl 1165.49040
Bridson, Martin; Riley, Timothy
2009
Geometric and cohomological methods in group theory. Papers from the London Mathematical Society symposium on geometry and cohomology in group theory, Durham, UK, July 2003. Zbl 1197.20001
Bridson, Martin R.; Kropholler, Peter H.; Leary, Ian J.
2009
Direct factors of profinite completions and decidability. Zbl 1173.20022
Bridson, Martin R.
2009
Subgroup separability in residually free groups. Zbl 1158.20013
Bridson, Martin R.; Wilton, Henry
2008
A condition that prevents groups from acting nontrivially on trees. Zbl 1151.20018
Bridson, Martin R.
2008
Normalisers in limit groups. Zbl 1139.20037
Bridson, Martin R.; Howie, James
2007
Deficiency and Abelianized deficiency of some virtually free groups. Zbl 1131.20020
Bridson, Martin R.; Tweedale, Michael
2007
Subgroups of direct products of elementarily free groups. Zbl 1127.20027
Bridson, Martin R.; Howie, James
2007
Limit groups, positive-genus towers and measure-equivalence. Zbl 1182.37004
Bridson, Martin R.; Tweedale, Michael; Wilton, Henry
2007
Subgroups of direct products of two limit groups. Zbl 1193.20052
Bridson, Martin R.; Howie, James
2007
Quasiregular self-mappings of manifolds and word hyperbolic groups. Zbl 1131.20031
Bridson, Martin; Hinkkanen, Aimo; Martin, Gaven
2007
Free and fragmenting filling length. Zbl 1117.20033
Bridson, Martin R.; Riley, Tim R.
2007
Automorphism groups of free groups, surface groups and free Abelian groups. Zbl 1184.20034
Bridson, Martin R.; Vogtmann, Karen
2006
Non-positive curvature and complexity for finitely presented groups. Zbl 1108.20041
Bridson, Martin R.
2006
Conjugacy of finite subsets in hyperbolic groups. Zbl 1083.20032
Bridson, Martin R.; Howie, James
2005
On the growth of groups and automorphisms. Zbl 1103.20025
Bridson, Martin R.
2005
Grothendieck’s problems concerning profinite completions and representations of groups. Zbl 1083.20023
Bridson, Martin R.; Grunewald, Fritz J.
2004
Mapping class groups and outer automorphism groups of free groups are $$C^{*}$$-simple. Zbl 1064.46052
Bridson, Martin R.; de la Harpe, Pierre
2004
Recognition of subgroups of direct products of hyperbolic groups. Zbl 1054.20013
Bridson, Martin R.; Miller, Charles F. III
2004
Homomorphisms from automorphism groups of free groups. Zbl 1049.20021
Bridson, Martin R.; Vogtmann, Karen
2003
Combings of groups and the grammar of reparameterization. Zbl 1044.20018
Bridson, Martin R.
2003
Finite presentation of fibre products of metabelian groups. Zbl 1024.20028
Baumslag, Gilbert; Bridson, Martin R.; Holt, Derek F.; Miller, Charles F. III
2003
The conjugacy and isomorphism problems for combable groups. Zbl 1034.20037
Bridson, Martin R.
2003
The geometry of the word problem. Zbl 0996.54507
Bridson, Martin R.
2002
The subgroups of direct products of surface groups. Zbl 1048.20009
Bridson, Martin R.; Howie, James; Miller, Charles F. III; Short, Hamish
2002
Context-free languages of sub-exponential growth. Zbl 1013.68123
Bridson, Martin R.; Gilman, Robert H.
2002
Polynomial Dehn functions and the length of asynchronously automatic structures. Zbl 1046.20027
Bridson, Martin R.
2002
Invitations to geometry and topology. Zbl 1002.57002
Bridson, Martin R.; Salamon, Simon M.
2002
The symmetries of outer space. Zbl 1037.20025
Bridson, Martin R.; Vogtmann, Karen
2001
Malnormality is undecidable in hyperbolic groups. Zbl 1018.20035
Bridson, Martin R.; Wise, Daniel T.
2001
On the subgroups of semihyperbolic groups. Zbl 1053.20038
Bridson, Martin R.
2001
Length functions, curvature and the dimension of discrete groups. Zbl 0990.20026
Bridson, Martin R.
2001
A remark about actions of lattices on free groups. Zbl 0964.22011
Bridson, Martin R.; Farb, Benson
2001
There is only one gap in the isoperimetric spectrum. Zbl 0971.20019
2000
Fibre products, non-positive curvature, and decision problems. Zbl 0973.20034
Baumslag, Gilbert; Bridson, Martin R.; Miller, Charles F. III; Short, Hamish
2000
Automorphisms of automorphism groups of free groups. Zbl 0959.20027
Bridson, Martin R.; Vogtmann, Karen
2000
Finiteness properties for subgroups of $$\text{GL}(n,\mathbb{Z})$$. Zbl 0957.20028
Bridson, Martin R.
2000
Metric spaces of non-positive curvature. Zbl 0988.53001
Bridson, Martin R.; Haefliger, André
1999
On the semisimplicity of polyhedral isometries. Zbl 0928.52007
Bridson, Martin R.
1999
Fractional isoperimetric inequalities and subgroup distortion. Zbl 0963.20018
Bridson, Martin R.
1999
$$\mathcal{VH}$$ complexes, towers and subgroups of $$F\times F$$. Zbl 0942.20009
Bridson, Martin R.; Wise, Daniel T.
1999
Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities. Zbl 0926.20026
Bridson, Martin R.
1999
Asymptotic cones and polynomial isoperimetric inequalities. Zbl 0929.20032
Bridson, Martin R.
1999
Non-positive curvature in group theory. Zbl 0922.20044
Bridson, Martin R.
1999
On the absence of cohomological finiteness in wreath products. Zbl 0922.20035
Baumslag, Gilbert; Bridson, Martin R.; Gruenberg, Karl W.
1998
Controlled embeddings into groups that have no non-trivial finite quotients. Zbl 0922.20045
Bridson, Martin R.
1998
Finitely presented subgroups of automatic groups and their isoperimetric functions. Zbl 0910.20023
Baumslag, Gilbert; Bridson, Martin R.; Miller, Charles F. III; Short, Hamish
1997
The optimal isoperimetric inequality for torus bundles over the circle. Zbl 0852.20031
Bridson, M. R.; Gersten, S. M.
1996
Formal language theory and the geometry of 3-manifolds. Zbl 0873.20026
Bridson, Martin R.; Gilman, Robert H.
1996
Semihyperbolic groups. Zbl 0823.20035
Alonso, Juan M.; Bridson, Martin R.
1995
On the existence of flat planes in spaces of non-positive curvature. Zbl 0840.53033
Bridson, Martin R.
1995
On the geometry of the automorphism group of a free group. Zbl 0836.20045
Bridson, Martin R.; Vogtmann, Karen
1995
Optimal isoperimetric inequalities for abelian-by-free groups. Zbl 0843.57002
Bridson, Martin R.
1995
On Hausdorff-Gromov convergence and a theorem of Paulin. Zbl 0846.20038
Bridson, M. R.; Swarup, G. A.
1994
Isoperimetric inequalities for the fundamental groups of torus bundles over the circle. Zbl 0802.20034
Bridson, M. R.; Pittet, Ch.
1994
On the geometry of normal forms in discrete groups. Zbl 0792.20036
Bridson, Martin R.
1993
Combings of semidirect products and 3-manifold groups. Zbl 0783.20020
Bridson, M. R.
1993
A remark about combings of groups. Zbl 0795.20016
Bridson, Martin R.; Gilman, Robert H.
1993
Regular combings, nonpositive curvature and the quasiconvexity of Abelian subgroups. Zbl 0802.20033
Bridson, Martin R.
1993
Geodesics and curvature in metric simplicial complexes. Zbl 0844.53034
Bridson, Martin R.
1991
all top 5

#### Cited by 1,539 Authors

 42 Bridson, Martin R. 28 Panyanak, Bancha 20 Kochloukova, Dessislava Hristova 16 Lytchak, Alexander 16 Nicolae, Adriana 16 Osin, Denis V. 15 Wise, Daniel T. 14 Kirk, William Arthur 14 López Acedo, Genaro 13 Caprace, Pierre-Emmanuel 13 Chepoi, Victor D. 13 Espínola García, Rafael 13 Phuengrattana, Withun 13 Wilton, Henry John Rutley 12 Brady, Noel 12 Izuchukwu, Chinedu 11 Fukhar-Ud-Din, Hafiz 11 Hosaka, Tetsuya 11 Kapovich, Michael 11 Mewomo, Oluwatosin Temitope 11 Piątek, Bożena 11 Zalesskii, Pavel 10 Groves, Daniel P. 10 Kapovich, Ilya 10 Khamsi, Mohamed Amine 10 Naor, Assaf 9 Bartels, Arthur C. 9 Chang, Shih-Sen 9 Charney, Ruth M. 9 Khan, Abdul Rahim 9 Lafont, Jean-François 9 Li, Chong 9 Ol’shanskiĭ, Aleksandr Yur’evich 9 Paulin, Frédéric 9 Sapir, Mark Valentinovich 9 Ugwunnadi, Godwin Chidi 9 Young, Robert 8 Abbas, Mujahid 8 Dhompongsa, Sompong 8 Guirardel, Vincent 8 Hagen, Mark F. 8 Koberda, Thomas 8 Kohlenbach, Ulrich Wilhelm 8 Leuştean, Laurenţiu 8 Lück, Wolfgang 8 Martínez-Pérez, Conchita 8 Monod, Nicolas 8 Niblo, Graham A. 8 Przytycki, Piotr 8 Shahzad, Naseer 8 Yao, Jen-Chih 7 Aramayona, Javier 7 Bowen, Lewis Phylip 7 Cashen, Christopher H. 7 Crisp, John D. C. 7 Davis, Michael W. 7 de Cornulier, Yves 7 Hamenstädt, Ursula 7 Kimura, Yasunori 7 Lim, Yongdo 7 Manning, Jason Fox 7 Martínez-Pérez, Álvaro 7 Minasyan, Ashot 7 Mosher, Lee 7 Myasnikov, Alexei G. 7 Osajda, Damian 7 Parkkonen, Jouni 7 Suantai, Suthep 7 Vogtmann, Karen 6 Bačák, Miroslav 6 Basarir, Metin 6 Dahmani, François 6 Elder, Murray J. 6 Holt, Derek F. 6 Januszkiewicz, Tadeusz 6 Khatibzadeh, Hadi 6 Lang, Urs 6 Llosa Isenrich, Claudio 6 Martino, Armando 6 Mihalik, Michael L. 6 Riley, Timothy R. 6 Ruane, Kim E. 6 Şahin, Aynur 6 Sauer, Roman 6 Schröder, Viktor M. H. 6 Varghese, Olga 6 Wilkes, Gareth 6 Zimmer, Andrew M. 5 Alexander, Stephanie B. 5 Aremu, Kazeem Olalekan 5 Arzhantseva, Goulnara N. 5 Bartholdi, Laurent 5 Behrstock, Jason A. 5 Belegradek, Igor 5 Bishop, Richard L. 5 Brock, Jeffrey F. 5 Buckley, Stephen M. 5 Ceccherini-Silberstein, Tullio G. 5 Charitos, Charalampos 5 Dani, Pallavi ...and 1,439 more Authors
all top 5

#### Cited in 287 Serials

 103 Geometriae Dedicata 74 Transactions of the American Mathematical Society 73 Groups, Geometry, and Dynamics 65 Algebraic & Geometric Topology 59 Geometry & Topology 57 Fixed Point Theory and Applications 52 Journal of Algebra 43 Proceedings of the American Mathematical Society 42 Topology and its Applications 42 International Journal of Algebra and Computation 38 Israel Journal of Mathematics 37 Mathematische Annalen 29 Journal of Mathematical Analysis and Applications 29 Advances in Mathematics 29 Mathematische Zeitschrift 27 Geometric and Functional Analysis. GAFA 26 Annales de l’Institut Fourier 24 Journal of Pure and Applied Algebra 21 Duke Mathematical Journal 20 Journal of Topology and Analysis 19 Inventiones Mathematicae 18 Journal of Group Theory 16 Analysis and Geometry in Metric Spaces 15 Journal of Functional Analysis 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Journal of Fixed Point Theory and Applications 13 Communications in Algebra 13 Ergodic Theory and Dynamical Systems 13 Annals of Mathematics. Second Series 13 Journal of the European Mathematical Society (JEMS) 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Journal für die Reine und Angewandte Mathematik 12 The Journal of Geometric Analysis 12 Journal of Inequalities and Applications 10 Journal of the American Mathematical Society 9 Conformal Geometry and Dynamics 9 Journal of Nonlinear Science and Applications 8 Memoirs of the American Mathematical Society 8 Differential Geometry and its Applications 8 Expositiones Mathematicae 8 Abstract and Applied Analysis 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Archiv der Mathematik 7 Publications Mathématiques 7 Michigan Mathematical Journal 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 L’Enseignement Mathématique. 2e Série 7 Calculus of Variations and Partial Differential Equations 7 St. Petersburg Mathematical Journal 7 Mediterranean Journal of Mathematics 6 Rocky Mountain Journal of Mathematics 6 Acta Mathematica 6 Commentarii Mathematici Helvetici 6 Journal of Optimization Theory and Applications 6 Monatshefte für Mathematik 6 Discrete & Computational Geometry 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Journal de l’École Polytechnique – Mathématiques 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Compositio Mathematica 5 Illinois Journal of Mathematics 5 Numerical Functional Analysis and Optimization 5 Advances in Applied Mathematics 5 Algorithmica 5 Advances in Geometry 5 Journal of Noncommutative Geometry 5 Journal of Topology 5 Bulletin of Mathematical Sciences 4 Discrete Mathematics 4 Journal d’Analyse Mathématique 4 The Annals of Probability 4 Bulletin of the London Mathematical Society 4 Glasgow Mathematical Journal 4 Manuscripta Mathematica 4 Osaka Journal of Mathematics 4 Annals of Global Analysis and Geometry 4 Forum Mathematicum 4 Linear Algebra and its Applications 4 Bulletin of the American Mathematical Society. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Potential Analysis 4 Transformation Groups 4 Journal of the Australian Mathematical Society 4 Journal of Applied Mathematics 4 Groups, Complexity, Cryptology 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Computers & Mathematics with Applications 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Notes 3 Demonstratio Mathematica 3 Journal of Computer and System Sciences 3 Proceedings of the London Mathematical Society. Third Series 3 Theoretical Computer Science 3 Annals of Pure and Applied Logic 3 Revista Matemática Iberoamericana 3 Indagationes Mathematicae. New Series 3 The Journal of Analysis 3 Topology Proceedings 3 Algebra Colloquium 3 Selecta Mathematica. New Series ...and 187 more Serials
all top 5

#### Cited in 54 Fields

 861 Group theory and generalizations (20-XX) 459 Manifolds and cell complexes (57-XX) 346 Differential geometry (53-XX) 221 Operator theory (47-XX) 221 General topology (54-XX) 147 Topological groups, Lie groups (22-XX) 119 Geometry (51-XX) 115 Combinatorics (05-XX) 101 Dynamical systems and ergodic theory (37-XX) 94 Functions of a complex variable (30-XX) 86 Global analysis, analysis on manifolds (58-XX) 82 Functional analysis (46-XX) 64 Algebraic topology (55-XX) 61 Several complex variables and analytic spaces (32-XX) 57 Computer science (68-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 40 Number theory (11-XX) 40 Convex and discrete geometry (52-XX) 38 Probability theory and stochastic processes (60-XX) 34 Mathematical logic and foundations (03-XX) 26 Algebraic geometry (14-XX) 26 Numerical analysis (65-XX) 26 Operations research, mathematical programming (90-XX) 25 $$K$$-theory (19-XX) 25 Abstract harmonic analysis (43-XX) 23 Category theory; homological algebra (18-XX) 22 Measure and integration (28-XX) 16 Associative rings and algebras (16-XX) 14 Nonassociative rings and algebras (17-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Real functions (26-XX) 9 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Partial differential equations (35-XX) 7 Statistics (62-XX) 7 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Integral equations (45-XX) 1 Mathematics education (97-XX)

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