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## Chiswell, Ian M.

Compute Distance To:
 Author ID: chiswell.ian-m Published as: Chiswell, I. M.; Chiswell, Ian; Chiswell, Ian M. External Links: MGP
 Documents Indexed: 49 Publications since 1975, including 4 Books
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#### Co-Authors

 40 single-authored 3 Müller, Thomas W. 1 Collins, Donald J. 1 Glass, Andrew M. W. 1 Hodges, Wilfrid 1 Huebschmann, Johannes 1 Koudela, E. 1 Kropholler, Peter H. 1 Remeslennikov, Vladimir Nikanorovich 1 Schlage-Puchta, Jan-Christoph 1 Wilson, John Stuart
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#### Serials

 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematika 2 Communications in Algebra 2 Bulletin of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 International Journal of Algebra and Computation 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Group Theory 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Journal of Algebra 1 Mathematica Slovaca 1 Cambridge Tracts in Mathematics 1 Oxford Texts in Logic 1 Universitext
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#### Fields

 46 Group theory and generalizations (20-XX) 9 Manifolds and cell complexes (57-XX) 7 Combinatorics (05-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 5 Mathematical logic and foundations (03-XX) 2 General topology (54-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

39 Publications have been cited 280 times in 240 Documents Cited by Year
Introduction to $$\Lambda$$-trees. Zbl 1004.20014
Chiswell, Ian
2001
Aspherical group presentations. Zbl 0443.20030
Chiswell, Ian M.; Collins, Donald J.; Huebschmann, Johannes
1981
Abstract length functions in groups. Zbl 0351.20024
Chiswell, I. M.
1976
Exact sequences associated with a graph of groups. Zbl 0328.20030
Chiswell, I. M.
1976
Equations in free groups with one variable. I. Zbl 0966.20012
Chiswell, I. M.; Remeslennikov, V. N.
2000
Euler characteristics of groups. Zbl 0304.20022
Chiswell, Ian M.
1976
Soluble right orderable groups are locally indicable. Zbl 0802.20035
Chiswell, I. M.; Kropholler, P. H.
1993
The Euler characteristic of graph products and of Coxeter groups. Zbl 0773.20005
Chiswell, I. M.
1992
Length functions and free products with amalgamation of groups. Zbl 0454.20030
Chiswell, I. M.
1981
Right orderability and graphs of groups. Zbl 1247.20032
Chiswell, I. M.
2011
Harrison’s theorem for $$\Lambda$$-trees. Zbl 0807.20025
Chiswell, I. M.
1994
Ordering graph products of groups. Zbl 1272.20043
Chiswell, I. M.
2012
Locally invariant orders on groups. Zbl 1155.20044
Chiswell, I. M.
2006
Euler characteristics of discrete groups. Zbl 1143.20310
Chiswell, I. M.
2004
The Grushko-Neumann theorem. Zbl 0338.20036
Chiswell, I. M.
1976
A course in formal languages, automata and groups. Zbl 1159.68474
Chiswell, Ian
2009
Non-standard analysis and the Morgan-Shalen compactification. Zbl 0764.22004
Chiswell, I. M.
1991
Non-trivial group actions on $$\Lambda$$-trees. Zbl 0791.20022
Chiswell, I. M.
1992
The growth series of a graph product. Zbl 0834.20027
Chiswell, I. M.
1994
Length functions and pregroups. Zbl 0647.20071
Chiswell, I. M.
1987
Generalised trees and $$\Lambda$$-trees. Zbl 0842.20025
Chiswell, I. M.
1995
Actions of locally nilpotent groups on $$\Lambda$$-trees. Zbl 0962.20017
Chiswell, I. M.
1999
Introduction to $$\Lambda$$-trees. Zbl 0872.20027
Chiswell, I. M.
1995
The cohomological dimension of 1-relator groups. Zbl 0316.18012
Chiswell, I. M.
1975
Residual nilpotence and ordering in one-relator groups and knot groups. Zbl 1371.20033
Chiswell, I. M.; Glass, A. M. W.; Wilson, John S.
2015
Mathematical logic. Zbl 1121.03001
Chiswell, Ian; Hodges, Wilfrid
2007
Minimal group actions on $$\Lambda$$-trees. Zbl 0982.20012
Chiswell, I. M.
1998
$$A$$-free groups and tree-free groups. Zbl 1082.20013
Chiswell, I. M.
2005
Embedding theorems for tree-free groups. Zbl 1234.20033
Chiswell, Ian; Müller, Thomas
2010
Right-angled Coxeter groups. Zbl 0621.20010
Chiswell, I. M.
1986
Some examples of groups with no nontrivial action on a $$\Lambda$$-tree. Zbl 0837.20036
Chiswell, I. M.
1995
The growth series of HNN extensions. Zbl 0935.20020
Chiswell, I. M.
1994
The Bass-Serre theorem revisited. Zbl 0432.20026
Chiswell, I. M.
1979
Rings which are residually $$\mathbb{Z}$$. Zbl 0953.13003
Chiswell, I. M.
1999
Properly discontinuous actions on $$\Lambda$$-trees. Zbl 0839.20037
Chiswell, I. M.
1994
An example of an integer-valued length function on a group. Zbl 0365.20045
Chiswell, I. M.
1977
Embedding theorems for groups with an integer-valued length function. Zbl 0399.20027
Chiswell, I. M.
1979
Protrees and $$\Lambda$$-trees. Zbl 0918.20010
Chiswell, I. M.
1998
Non-standard free groups. Zbl 0889.20017
Chiswell, I. M.
1997
Residual nilpotence and ordering in one-relator groups and knot groups. Zbl 1371.20033
Chiswell, I. M.; Glass, A. M. W.; Wilson, John S.
2015
Ordering graph products of groups. Zbl 1272.20043
Chiswell, I. M.
2012
Right orderability and graphs of groups. Zbl 1247.20032
Chiswell, I. M.
2011
Embedding theorems for tree-free groups. Zbl 1234.20033
Chiswell, Ian; Müller, Thomas
2010
A course in formal languages, automata and groups. Zbl 1159.68474
Chiswell, Ian
2009
Mathematical logic. Zbl 1121.03001
Chiswell, Ian; Hodges, Wilfrid
2007
Locally invariant orders on groups. Zbl 1155.20044
Chiswell, I. M.
2006
$$A$$-free groups and tree-free groups. Zbl 1082.20013
Chiswell, I. M.
2005
Euler characteristics of discrete groups. Zbl 1143.20310
Chiswell, I. M.
2004
Introduction to $$\Lambda$$-trees. Zbl 1004.20014
Chiswell, Ian
2001
Equations in free groups with one variable. I. Zbl 0966.20012
Chiswell, I. M.; Remeslennikov, V. N.
2000
Actions of locally nilpotent groups on $$\Lambda$$-trees. Zbl 0962.20017
Chiswell, I. M.
1999
Rings which are residually $$\mathbb{Z}$$. Zbl 0953.13003
Chiswell, I. M.
1999
Minimal group actions on $$\Lambda$$-trees. Zbl 0982.20012
Chiswell, I. M.
1998
Protrees and $$\Lambda$$-trees. Zbl 0918.20010
Chiswell, I. M.
1998
Non-standard free groups. Zbl 0889.20017
Chiswell, I. M.
1997
Generalised trees and $$\Lambda$$-trees. Zbl 0842.20025
Chiswell, I. M.
1995
Introduction to $$\Lambda$$-trees. Zbl 0872.20027
Chiswell, I. M.
1995
Some examples of groups with no nontrivial action on a $$\Lambda$$-tree. Zbl 0837.20036
Chiswell, I. M.
1995
Harrison’s theorem for $$\Lambda$$-trees. Zbl 0807.20025
Chiswell, I. M.
1994
The growth series of a graph product. Zbl 0834.20027
Chiswell, I. M.
1994
The growth series of HNN extensions. Zbl 0935.20020
Chiswell, I. M.
1994
Properly discontinuous actions on $$\Lambda$$-trees. Zbl 0839.20037
Chiswell, I. M.
1994
Soluble right orderable groups are locally indicable. Zbl 0802.20035
Chiswell, I. M.; Kropholler, P. H.
1993
The Euler characteristic of graph products and of Coxeter groups. Zbl 0773.20005
Chiswell, I. M.
1992
Non-trivial group actions on $$\Lambda$$-trees. Zbl 0791.20022
Chiswell, I. M.
1992
Non-standard analysis and the Morgan-Shalen compactification. Zbl 0764.22004
Chiswell, I. M.
1991
Length functions and pregroups. Zbl 0647.20071
Chiswell, I. M.
1987
Right-angled Coxeter groups. Zbl 0621.20010
Chiswell, I. M.
1986
Aspherical group presentations. Zbl 0443.20030
Chiswell, Ian M.; Collins, Donald J.; Huebschmann, Johannes
1981
Length functions and free products with amalgamation of groups. Zbl 0454.20030
Chiswell, I. M.
1981
The Bass-Serre theorem revisited. Zbl 0432.20026
Chiswell, I. M.
1979
Embedding theorems for groups with an integer-valued length function. Zbl 0399.20027
Chiswell, I. M.
1979
An example of an integer-valued length function on a group. Zbl 0365.20045
Chiswell, I. M.
1977
Abstract length functions in groups. Zbl 0351.20024
Chiswell, I. M.
1976
Exact sequences associated with a graph of groups. Zbl 0328.20030
Chiswell, I. M.
1976
Euler characteristics of groups. Zbl 0304.20022
Chiswell, Ian M.
1976
The Grushko-Neumann theorem. Zbl 0338.20036
Chiswell, I. M.
1976
The cohomological dimension of 1-relator groups. Zbl 0316.18012
Chiswell, I. M.
1975
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#### Cited by 279 Authors

 14 Chiswell, Ian M. 9 Myasnikov, Alexei G. 6 Horadam, Kathy J. 6 Remeslennikov, Vladimir Nikanorovich 5 Bogley, William A. 5 Guirardel, Vincent 5 Huebschmann, Johannes 5 Serbin, Denis E. 4 Dicks, Warren 4 Howie, James 4 Kharlampovich, Olga G. 4 Linnell, Peter Arnold 4 Muranov, Alexey 4 O Rourke, Shane 4 Wilkens, David L. 4 Winter, Anita 3 Antolín, Yago 3 Ciobanu, Laura 3 Clay, Adam 3 Collins, Donald J. 3 Everitt, Brent 3 Gruber, Dominik 3 Müller, Thomas W. 3 Ratcliffe, John G. 3 Rivas, Cristóbal 3 Sapir, Mark Valentinovich 3 Tschantz, Steven Thomas 2 Alonso, Juan Miguel 2 Boyer, Steven 2 Casals-Ruiz, Montserrat 2 Caspers, Martijn 2 Curran, Peter Michael 2 Daniyarova, Evelina Yur’Evna 2 Dikranjan, Dikran N. 2 Dress, Andreas W. M. 2 Dumas, David 2 Ellis, Graham J. 2 Evans, Steven Neil 2 Gilman, Robert H. 2 Groves, Daniel P. 2 Hermiller, Susan M. 2 Hillman, Jonathan Arthur 2 Holt, Derek F. 2 Kazachkov, Ilya V. 2 Levitt, Gilbert 2 Lewin, Jacques 2 Martínez-Pedroza, Eduardo 2 Martino, Armando 2 Mikhovich, Andrey M. 2 Paulin, Frédéric 2 Pride, Stephen J. 2 Rees, Sarah 2 Reynolds, Patrick 2 Rolfsen, Dale 2 Roman’kov, Vitaly Anatol’evich 2 Schneebeli, Hans Rudolf 2 Struyve, Koen 2 Šunić, Zoran 2 Toller, Daniele 2 Trenholme, Alice R. 2 Williams, Gerald 2 Witte Morris, Dave 1 Abul Bashar, M. 1 Accardi, Luigi 1 Alibegović, Emina 1 Allocca, Michael P. 1 Anshel, Iris Lee 1 Aschenbrenner, Matthias 1 Athreya, Siva R. 1 Bajpai, Jitendra 1 Barmak, Jonathan Ariel 1 Basarab, Serban A. 1 Bass, Hyman 1 Baumgartner, Michael 1 Baumslag, Gilbert 1 Berestovskiĭ, Valeriĭ Nikolaevich 1 Bereznyuk, V. Yu. 1 Bergman, George M. 1 Beyrer, Jonas 1 Bieri, Robert 1 Bishop-Ross, Rachel 1 Biskup, Igor 1 Blatherwick, Vikki A. 1 Bleile, Beatrice 1 Bodirsky, Manuel 1 Boedihardjo, Horatio 1 Bogopolski, Oleg 1 Bokor, Imre 1 Bormotov, Dimitri 1 Brady, Noel 1 Breuillard, Emmanuel 1 Brown, Kenneth Stephen 1 Bryant, David 1 Bucher, Michelle 1 Bulygin, Alekseĭ Ivanovich 1 Cantat, Serge 1 Cárdenas, Manuel 1 Carette, Mathieu 1 Carlisle, Sylvia 1 Castellano, Ilaria ...and 179 more Authors
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#### Cited in 77 Serials

 17 Journal of Algebra 15 Journal of Pure and Applied Algebra 14 International Journal of Algebra and Computation 11 Communications in Algebra 11 Advances in Mathematics 10 Transactions of the American Mathematical Society 9 Mathematische Zeitschrift 9 Algebraic & Geometric Topology 8 Proceedings of the American Mathematical Society 7 Groups, Geometry, and Dynamics 6 Topology and its Applications 6 Journal of Group Theory 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Geometriae Dedicata 5 Mathematische Annalen 5 Proceedings of the Edinburgh Mathematical Society. Series II 4 Annales de l’Institut Fourier 4 Mathematika 4 Geometry & Topology 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Archiv der Mathematik 3 Glasgow Mathematical Journal 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Sciences (New York) 3 Journal of Topology and Analysis 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Acta Mathematica 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Memoirs of the American Mathematical Society 2 Osaka Journal of Mathematics 2 Journal of the American Mathematical Society 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of Topology 2 Bulletin of Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Algebra and Logic 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Fuzzy Sets and Systems 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematica Slovaca 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Synthese 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 St. Petersburg Mathematical Journal 1 The Bulletin of Symbolic Logic 1 Electronic Research Announcements of the American Mathematical Society 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Transformation Groups 1 Journal of Dynamical and Control Systems 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 East Asian Mathematical Journal 1 Journal of $$K$$-Theory 1 Journal of Logic and Analysis 1 Groups, Complexity, Cryptology 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications
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#### Cited in 34 Fields

 190 Group theory and generalizations (20-XX) 63 Manifolds and cell complexes (57-XX) 28 Combinatorics (05-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 16 General topology (54-XX) 15 Mathematical logic and foundations (03-XX) 10 Topological groups, Lie groups (22-XX) 10 Differential geometry (53-XX) 10 Algebraic topology (55-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 7 Computer science (68-XX) 6 Algebraic geometry (14-XX) 5 Abstract harmonic analysis (43-XX) 3 General algebraic systems (08-XX) 3 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 3 Convex and discrete geometry (52-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)