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Scott, G. Peter

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Author ID: scott.g-peter Recent zbMATH articles by "Scott, G. Peter"
Published as: Scott, Peter; Scott, G. P.; Scott, G. Peter; Scott, P.
External Links: MGP · Wikidata · GND
Documents Indexed: 59 Publications since 1968, including 2 Books

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 1,369 times in 1,101 Documents Cited by Year
The geometries of 3-manifolds. Zbl 0561.57001
Scott, Peter
447
1983
Subgroups of surface groups are almost geometric. Zbl 0412.57006
Scott, Peter
127
1978
Compact submanifolds of 3-manifolds. Zbl 0266.57001
Scott, G. P.
75
1973
Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045
Freedman, Michael; Hass, Joel; Scott, Peter
63
1983
Topological methods in group theory. Zbl 0423.20023
Scott, Peter; Wall, Terry
61
1979
Finite group actions on 3-manifolds. Zbl 0626.57006
Meeks, William H. III; Scott, Peter
56
1986
There are no fake Seifert fibre spaces with infinite \(\pi_1\). Zbl 0516.57006
Scott, Peter
47
1983
Periodic automorphisms of free groups. Zbl 0304.20029
Dyer, Joan L.; Scott, G. Peter
44
1975
Finitely generated 3-manifold groups are finitely presented. Zbl 0254.57003
Scott, G. P.
37
1973
Braid groups and the group of homeomorphisms of a surface. Zbl 0203.56302
Scott, G. P.
35
1970
Intersections of curves on surfaces. Zbl 0576.57009
Hass, Joel; Scott, Peter
32
1985
The existence of least area surfaces in 3-manifolds. Zbl 0711.53008
Hass, Joel; Scott, Peter
31
1988
Shortening curves on surfaces. Zbl 0798.58019
Hass, Joel; Scott, Peter
31
1994
Ends of pairs of groups. Zbl 0368.20021
Scott, Peter
30
1978
A new proof of the annulus and torus theorems. Zbl 0439.57004
Scott, Peter
26
1980
Correction to ”Subgroups of surface groups are almost geometric”. Zbl 0581.57005
Scott, Peter
20
1985
Closed geodesics on surfaces. Zbl 0476.53026
Freedman, Michael; Hass, Joel; Scott, Peter
18
1982
Splittings of groups and intersection numbers. Zbl 0983.20024
Scott, Peter; Swarup, Gadde A.
17
2000
Regular neighbourhoods and canonical decompositions for groups. Zbl 1036.20028
Scott, Peter; Swarup, Gadde A.
17
2003
Homotopy links. Zbl 0165.57102
Scott, G. P.
16
1968
An embedding theorem for groups with a free subgroup of finite index. Zbl 0288.20043
Scott, G. P.
13
1974
Homotopy equivalence and homeomorphism of 3-manifolds. Zbl 0771.57007
Hass, Joel; Scott, Peter
10
1992
The space of homeomorphisms of a 2-manifold. Zbl 0174.26305
Scott, G. P.
9
1970
The symmetry of intersection numbers in group theory. Zbl 0897.20029
Scott, Peter
8
1998
Geometric finiteness of certain Kleinian groups. Zbl 0699.30040
Scott, G. P.; Swarup, G. A.
8
1990
An algebraic annulus theorem. Zbl 0984.20028
Scott, G. P.; Swarup, G. A.
8
2000
Least area surfaces can have excess triple points. Zbl 0636.53011
Gulliver, Robert; Scott, Peter
8
1987
Some examples of exotic non-compact 3-manifolds. Zbl 0692.57006
Scott, Peter; Tucker, Thomas
7
1989
Minimal cubings. Zbl 1085.20026
Niblo, Graham; Sageev, Michah; Scott, Peter; Swarup, Gadde A.
6
2005
On sufficiently large 3-manifolds. Zbl 0234.57001
Scott, G. P.
6
1972
Strong annulus and torus theorems and the enclosing property of characteristic submanifolds of 3-manifolds. Zbl 0589.57006
Scott, Peter
6
1984
A geometric characteristic splitting in all dimensions. Zbl 0979.53037
Leeb, Bernhard; Scott, Peter
5
2000
Compactifying coverings of closed 3-manifolds. Zbl 0693.57011
Hass, Joel; Rubinstein, Hyam; Scott, Peter
5
1989
The homeomorphism problem for closed 3-manifolds. Zbl 1311.57025
Scott, Peter; Short, Hamish
4
2014
Totally peripheral 3-manifolds. Zbl 0525.57010
Brin, Matthew; Johannson, Klaus; Scott, Peter
4
1985
Homotopy implies isotopy for some Seifert fibre spaces. Zbl 0576.57012
Scott, Peter
4
1985
Normal subgroups in 3-manifold groups. Zbl 0321.57001
Scott, Peter
3
1976
Simple closed geodesics in hyperbolic 3-manifolds. Zbl 0955.53025
Adams, Colin; Hass, Joel; Scott, Peter
3
1999
The uniqueness of compact cores for 3-manifolds. Zbl 0865.57016
Harris, Luke; Scott, Peter
2
1996
Configurations of curves and geodesics on surfaces. Zbl 1035.53053
Hass, Joel; Scott, Peter
2
1999
Regular neighbourhoods and canonical decompositions for groups. Zbl 1057.20032
Scott, Peter; Swarup, Gadde A.
2
2002
The geometries of 3-manifolds. (Geometrii na trekhmernykh mnogoobraziyakh). Transl. from the English. Zbl 0662.57001
Scott, Peter
2
1986
Covering spaces of 3-manifolds. Zbl 0624.57016
Hass, Joel; Rubinstein, Hyam; Scott, Peter
2
1987
Canonical splittings of groups and 3-manifolds. Zbl 0981.57002
Scott, Peter; Swarup, Gadde A.
2
2001
Fundamental groups of non-compact 3-manifolds. Zbl 0341.57001
Scott, Peter
2
1977
Correction to: “The symmetry of intersection numbers in group theory”. Zbl 1382.20048
Scott, Peter
1
1998
The classification of compact 3-manifolds. Zbl 0483.57001
Scott, P.
1
1982
A note on piecewise-linear immersions. Zbl 0204.56203
Scott, G. P.
1
1970
A note on the homotopy type of \(PL_ 2\). Zbl 0212.28302
Scott, G. P.
1
1971
Non-compact totally peripheral 3-manifolds. Zbl 0823.57014
Harris, Luke; Scott, Peter
1
1995
Least area tori in 3-manifolds. Zbl 0818.57010
Scott, G. P.; Swarup, G. A.
1
1992
Curve flows on surfaces and intersections of curves. Zbl 0793.53006
Hass, Joel; Scott, Peter
1
1993
Splittings and \(C\)-complexes. Zbl 1225.20035
Mj, Mahan; Scott, Peter; Swarup, Gadde
1
2009
The homeomorphism problem for closed 3-manifolds. Zbl 1311.57025
Scott, Peter; Short, Hamish
4
2014
Splittings and \(C\)-complexes. Zbl 1225.20035
Mj, Mahan; Scott, Peter; Swarup, Gadde
1
2009
Minimal cubings. Zbl 1085.20026
Niblo, Graham; Sageev, Michah; Scott, Peter; Swarup, Gadde A.
6
2005
Regular neighbourhoods and canonical decompositions for groups. Zbl 1036.20028
Scott, Peter; Swarup, Gadde A.
17
2003
Regular neighbourhoods and canonical decompositions for groups. Zbl 1057.20032
Scott, Peter; Swarup, Gadde A.
2
2002
Canonical splittings of groups and 3-manifolds. Zbl 0981.57002
Scott, Peter; Swarup, Gadde A.
2
2001
Splittings of groups and intersection numbers. Zbl 0983.20024
Scott, Peter; Swarup, Gadde A.
17
2000
An algebraic annulus theorem. Zbl 0984.20028
Scott, G. P.; Swarup, G. A.
8
2000
A geometric characteristic splitting in all dimensions. Zbl 0979.53037
Leeb, Bernhard; Scott, Peter
5
2000
Simple closed geodesics in hyperbolic 3-manifolds. Zbl 0955.53025
Adams, Colin; Hass, Joel; Scott, Peter
3
1999
Configurations of curves and geodesics on surfaces. Zbl 1035.53053
Hass, Joel; Scott, Peter
2
1999
The symmetry of intersection numbers in group theory. Zbl 0897.20029
Scott, Peter
8
1998
Correction to: “The symmetry of intersection numbers in group theory”. Zbl 1382.20048
Scott, Peter
1
1998
The uniqueness of compact cores for 3-manifolds. Zbl 0865.57016
Harris, Luke; Scott, Peter
2
1996
Non-compact totally peripheral 3-manifolds. Zbl 0823.57014
Harris, Luke; Scott, Peter
1
1995
Shortening curves on surfaces. Zbl 0798.58019
Hass, Joel; Scott, Peter
31
1994
Curve flows on surfaces and intersections of curves. Zbl 0793.53006
Hass, Joel; Scott, Peter
1
1993
Homotopy equivalence and homeomorphism of 3-manifolds. Zbl 0771.57007
Hass, Joel; Scott, Peter
10
1992
Least area tori in 3-manifolds. Zbl 0818.57010
Scott, G. P.; Swarup, G. A.
1
1992
Geometric finiteness of certain Kleinian groups. Zbl 0699.30040
Scott, G. P.; Swarup, G. A.
8
1990
Some examples of exotic non-compact 3-manifolds. Zbl 0692.57006
Scott, Peter; Tucker, Thomas
7
1989
Compactifying coverings of closed 3-manifolds. Zbl 0693.57011
Hass, Joel; Rubinstein, Hyam; Scott, Peter
5
1989
The existence of least area surfaces in 3-manifolds. Zbl 0711.53008
Hass, Joel; Scott, Peter
31
1988
Least area surfaces can have excess triple points. Zbl 0636.53011
Gulliver, Robert; Scott, Peter
8
1987
Covering spaces of 3-manifolds. Zbl 0624.57016
Hass, Joel; Rubinstein, Hyam; Scott, Peter
2
1987
Finite group actions on 3-manifolds. Zbl 0626.57006
Meeks, William H. III; Scott, Peter
56
1986
The geometries of 3-manifolds. (Geometrii na trekhmernykh mnogoobraziyakh). Transl. from the English. Zbl 0662.57001
Scott, Peter
2
1986
Intersections of curves on surfaces. Zbl 0576.57009
Hass, Joel; Scott, Peter
32
1985
Correction to ”Subgroups of surface groups are almost geometric”. Zbl 0581.57005
Scott, Peter
20
1985
Totally peripheral 3-manifolds. Zbl 0525.57010
Brin, Matthew; Johannson, Klaus; Scott, Peter
4
1985
Homotopy implies isotopy for some Seifert fibre spaces. Zbl 0576.57012
Scott, Peter
4
1985
Strong annulus and torus theorems and the enclosing property of characteristic submanifolds of 3-manifolds. Zbl 0589.57006
Scott, Peter
6
1984
The geometries of 3-manifolds. Zbl 0561.57001
Scott, Peter
447
1983
Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045
Freedman, Michael; Hass, Joel; Scott, Peter
63
1983
There are no fake Seifert fibre spaces with infinite \(\pi_1\). Zbl 0516.57006
Scott, Peter
47
1983
Closed geodesics on surfaces. Zbl 0476.53026
Freedman, Michael; Hass, Joel; Scott, Peter
18
1982
The classification of compact 3-manifolds. Zbl 0483.57001
Scott, P.
1
1982
A new proof of the annulus and torus theorems. Zbl 0439.57004
Scott, Peter
26
1980
Topological methods in group theory. Zbl 0423.20023
Scott, Peter; Wall, Terry
61
1979
Subgroups of surface groups are almost geometric. Zbl 0412.57006
Scott, Peter
127
1978
Ends of pairs of groups. Zbl 0368.20021
Scott, Peter
30
1978
Fundamental groups of non-compact 3-manifolds. Zbl 0341.57001
Scott, Peter
2
1977
Normal subgroups in 3-manifold groups. Zbl 0321.57001
Scott, Peter
3
1976
Periodic automorphisms of free groups. Zbl 0304.20029
Dyer, Joan L.; Scott, G. Peter
44
1975
An embedding theorem for groups with a free subgroup of finite index. Zbl 0288.20043
Scott, G. P.
13
1974
Compact submanifolds of 3-manifolds. Zbl 0266.57001
Scott, G. P.
75
1973
Finitely generated 3-manifold groups are finitely presented. Zbl 0254.57003
Scott, G. P.
37
1973
On sufficiently large 3-manifolds. Zbl 0234.57001
Scott, G. P.
6
1972
A note on the homotopy type of \(PL_ 2\). Zbl 0212.28302
Scott, G. P.
1
1971
Braid groups and the group of homeomorphisms of a surface. Zbl 0203.56302
Scott, G. P.
35
1970
The space of homeomorphisms of a 2-manifold. Zbl 0174.26305
Scott, G. P.
9
1970
A note on piecewise-linear immersions. Zbl 0204.56203
Scott, G. P.
1
1970
Homotopy links. Zbl 0165.57102
Scott, G. P.
16
1968
all top 5

Cited by 1,049 Authors

20 Gonçalves, Daciberg Lima
15 Zalesskii, Pavel
14 Szirmai, Jenó
13 Ohshika, Ken’ichi
12 Guaschi, John
12 Wang, Shi Cheng
12 Wise, Daniel T.
11 Niblo, Graham A.
10 Reid, Alan W.
10 Rubinstein, J. Hyam
10 Scott, G. Peter
9 Geiges, Hansjörg
9 Kalliongis, John E.
9 Mj, Mahan
8 Boileau, Michel Charles
8 Coskunuzer, Baris
8 González Acuña, Francisco Javier
8 Hass, Joel
8 Long, Darren D.
8 Shalen, Peter B.
8 Swarup, Gadde A.
7 Cooper, Daryl
7 Friedl, Stefan
7 Gadgil, Siddhartha
7 Gitik, Rita
7 Heil, Wolfgang H.
7 Hillman, Jonathan Arthur
7 Kapovich, Michael
7 Souto, Juan
7 Sun, Hongbin
6 Calegari, Danny Matthew Cornelius
6 Gómez Larrañaga, José Carlos
6 Guirardel, Vincent
6 Levitt, Gilbert
6 Liu, Yi
6 McReynolds, David Ben
6 Molnár, Emil
6 Sageev, Michah
5 Agol, Ian
5 Boyer, Steven
5 Bridson, Martin R.
5 Chas, Moira
5 Gersten, Stephen M.
5 Gonzalo Pérez, Jesús
5 Haglund, Frédéric
5 Ikeda, Toru
5 Kollár, János
5 Lackenby, Marc
5 Lee, Jong Bum
5 McCullough, Darryl
5 Minsky, Yair N.
5 Mosher, Lee
5 Sakuma, Makoto
5 Soma, Teruhiko
5 Ventura Capell, Enric
5 Vesnin, Andrei Yu.
5 Wilton, Henry John Rutley
5 Zimmermann, Bruno P.
4 Allenby, R. B. J. T.
4 Brock, Jeffrey F.
4 Cárdenas, Manuel
4 Dunfield, Nathan M.
4 Erjavec, Zlatko
4 Funar, Louis
4 Gabai, David
4 Goldman, William M.
4 Hidalgo, Rubén Antonio
4 Ichihara, Kazuhiro
4 Kim, Goansu
4 Kropholler, Peter H.
4 Kwasik, Sławomir
4 Lange, Christian
4 Leeb, Bernhard
4 Leininger, Christopher J.
4 Lott, John
4 Lück, Wolfgang
4 Manturov, Vassiliĭ Olegovich
4 Martino, Armando
4 Masters, Joseph D.
4 Mednykh, Aleksandr Dmitrievich
4 Meeks, William Hamilton III
4 Miller, Andy
4 Minasyan, Ashot
4 Neofytidis, Christoforos
4 Neumann-Coto, Max
4 Neumann, Walter David
4 Pandit, Suhas
4 Patel, Priyam
4 Quintero, Antonio
4 Ratcliffe, John G.
4 Rolfsen, Dale
4 Roller, Martin A.
4 Schultens, Jennifer
4 Tang, Chi Yu
4 Watson, Liam
4 Wilkes, Gareth
4 Wong, Peng Choon
4 Yagasaki, Tatsuhiko
4 Zhao, Xuezhi
3 Amendola, Gennaro
...and 949 more Authors
all top 5

Cited in 185 Serials

73 Topology and its Applications
72 Algebraic & Geometric Topology
58 Geometry & Topology
56 Transactions of the American Mathematical Society
44 Geometriae Dedicata
43 Proceedings of the American Mathematical Society
38 Journal of Algebra
35 Inventiones Mathematicae
31 Journal of Pure and Applied Algebra
30 Mathematische Zeitschrift
28 Mathematische Annalen
23 Journal of Knot Theory and its Ramifications
20 Duke Mathematical Journal
19 Mathematical Proceedings of the Cambridge Philosophical Society
19 Advances in Mathematics
15 Annales de l’Institut Fourier
15 Journal of the American Mathematical Society
13 Bulletin of the American Mathematical Society. New Series
12 Geometric and Functional Analysis. GAFA
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Communications in Algebra
9 Israel Journal of Mathematics
9 Compositio Mathematica
9 Manuscripta Mathematica
9 Osaka Journal of Mathematics
8 Bulletin of the Australian Mathematical Society
8 Communications in Mathematical Physics
8 General Relativity and Gravitation
8 Archiv der Mathematik
8 Siberian Mathematical Journal
7 Journal of Mathematical Physics
7 Journal of Geometry and Physics
7 Acta Mathematica Sinica. English Series
7 Groups, Geometry, and Dynamics
6 Acta Mathematica
6 Mathematische Nachrichten
6 Discrete & Computational Geometry
6 Differential Geometry and its Applications
6 Experimental Mathematics
6 Journal of Mathematical Sciences (New York)
6 Journal of Topology
6 Journal of Topology and Analysis
5 Rocky Mountain Journal of Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 International Journal of Algebra and Computation
5 Conformal Geometry and Dynamics
5 Journal of Group Theory
5 Annals of Mathematics. Second Series
5 Communications in Contemporary Mathematics
4 Discrete Mathematics
4 Journal of Functional Analysis
4 Journal für die Reine und Angewandte Mathematik
4 Russian Mathematics
4 Electronic Research Announcements of the American Mathematical Society
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Mediterranean Journal of Mathematics
3 Mathematical Notes
3 Glasgow Mathematical Journal
3 Illinois Journal of Mathematics
3 Journal of Geometry
3 Journal of Soviet Mathematics
3 Mathematica Slovaca
3 Proceedings of the Japan Academy. Series A
3 Rendiconti del Seminario Matematico della Università di Padova
3 Results in Mathematics
3 Tokyo Journal of Mathematics
3 Ergodic Theory and Dynamical Systems
3 Revista Matemática Iberoamericana
3 Forum Mathematicum
3 The Journal of Geometric Analysis
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Journal of High Energy Physics
3 Annales Henri Poincaré
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Bulletin of the American Mathematical Society
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 International Journal of Modern Physics A
2 Archive for Rational Mechanics and Analysis
2 Indian Journal of Pure & Applied Mathematics
2 International Journal of Theoretical Physics
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Mathematics of Computation
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Algebra and Logic
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Indiana University Mathematics Journal
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Tohoku Mathematical Journal. Second Series
2 European Journal of Combinatorics
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 International Journal of Mathematics
...and 85 more Serials
all top 5

Cited in 43 Fields

697 Manifolds and cell complexes (57-XX)
393 Group theory and generalizations (20-XX)
228 Differential geometry (53-XX)
93 Algebraic topology (55-XX)
78 Functions of a complex variable (30-XX)
52 Global analysis, analysis on manifolds (58-XX)
51 Dynamical systems and ergodic theory (37-XX)
43 Algebraic geometry (14-XX)
42 Topological groups, Lie groups (22-XX)
41 Several complex variables and analytic spaces (32-XX)
35 Combinatorics (05-XX)
30 Relativity and gravitational theory (83-XX)
23 Geometry (51-XX)
22 Number theory (11-XX)
22 Convex and discrete geometry (52-XX)
15 Computer science (68-XX)
14 General topology (54-XX)
13 Quantum theory (81-XX)
11 Functional analysis (46-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Associative rings and algebras (16-XX)
10 Nonassociative rings and algebras (17-XX)
9 \(K\)-theory (19-XX)
7 Measure and integration (28-XX)
7 Partial differential equations (35-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Category theory; homological algebra (18-XX)
5 Mathematical logic and foundations (03-XX)
5 Abstract harmonic analysis (43-XX)
4 Fluid mechanics (76-XX)
3 History and biography (01-XX)
3 Commutative algebra (13-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 Field theory and polynomials (12-XX)
1 General and overarching topics; collections (00-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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