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## Stallings, John R.

Compute Distance To:
 Author ID: stallings.john-r Published as: Stallings, John R.; Stallings, J.; Stallings, John; Stallings, J. R. External Links: IdRef · MGP · Math-Net.Ru · Wikidata · dblp · MacTutor
 Documents Indexed: 50 Publications since 1959, including 4 Books

#### Co-Authors

 44 single-authored 4 Gersten, Stephen M. 1 Massey, William S. 1 Wolf, Alan Royce
all top 5

#### Serials

 6 Annals of Mathematics. Second Series 3 Proceedings of the American Mathematical Society 3 Bulletin of the American Mathematical Society 2 Fundamenta Mathematicae 2 Mathematische Zeitschrift 2 Proceedings of the Cambridge Philosophical Society 2 Annals of Mathematics Studies 1 American Journal of Mathematics 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Algebra 1 Topology 1 International Journal of Algebra and Computation 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
all top 5

#### Fields

 28 Group theory and generalizations (20-XX) 20 Manifolds and cell complexes (57-XX) 5 Combinatorics (05-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 1,470 times in 1,303 Documents Cited by Year
Topology of finite graphs. Zbl 0521.20013
Stallings, John R.
1983
Homology and central series of groups. Zbl 0135.05201
Stallings, J.
1965
On torsion-free groups with infinitely many ends. Zbl 0238.20036
Stallings, John R.
1968
Group theory and three-dimensional manifolds. Zbl 0241.57001
Stallings, John
1971
On fibering certain 3-manifolds. Zbl 1246.57049
Stallings, John
1962
The piecewise-linear structure of euclidean space. Zbl 0107.40203
Stallings, J.
1962
A finitely presented group whose 3-dimensional integral homology is not finitely generated. Zbl 0122.27301
Stallings, J.
1963
Centerless groups – an algebraic formulation of Gottlieb’s theorem. Zbl 0201.36001
Stallings, John
1965
Fixed point theorems for connectivity maps. Zbl 0114.39102
Stallings, J.
1959
Lectures on polyhedral topology. Zbl 0182.26203
Stallings, J. R.
1968
On topologically unknotted spheres. Zbl 0121.18202
Stallings, J.
1963
On the loop theorem. Zbl 0094.36103
Stallings, John
1960
A topological proof of Grushko’s theorem on free products. Zbl 0135.04603
Stallings, J. R.
1965
Constructions of fibred knots and links. Zbl 0394.57007
Stallings, John R.
1978
Polyhedral homotopy-spheres. Zbl 0111.18901
Stallings, John R.
1960
Whitehead torsion of free products. Zbl 0132.26804
Stallings, J.
1965
Non-positively curved triangles of groups. Zbl 0843.20033
Stallings, John R.
1991
Whitehead graphs on handlebodies. Zbl 1127.57300
Stallings, John R.
1999
Foldings of $$G$$-trees. Zbl 0782.20018
Stallings, John R.
1991
Topologically unrealizable automorphisms of free groups. Zbl 0477.20012
Stallings, John R.
1982
Groups of dimension 1 are locally free. Zbl 0157.05302
Stallings, J.
1968
How not to prove the Poincaré conjecture. Zbl 0152.22604
Stallings, J.
1966
Irreducible outer automorphisms of a free group. Zbl 0717.20026
Gersten, S. M.; Stallings, J. R.
1991
Casson’s idea about $$3$$-manifolds whose universal cover is $${\mathbb{R}}^ 3$$. Zbl 0739.57010
Stallings, John R.; Gersten, S. M.
1992
Problems about free quotients of groups. Zbl 0869.20012
Stallings, John R.
1995
A graph-theoretic lemma and group-embeddings. Zbl 0615.05034
Stallings, John R.
1987
Surfaces in three-manifolds and non-singular equations in groups. Zbl 0496.57006
Stallings, John R.
1983
Graphical theory of automorphisms of free groups. Zbl 0619.20011
Stallings, John R.
1987
On the recursiveness of sets of presentations of 3-manifold groups. Zbl 0121.40006
Stallings, J. R.
1962
Uncountably many wild disks. Zbl 0116.14805
Stallings, J. R.
1960
Algebraic topology: An introduction. (Algebraiceskaja topologija. Vvedenie.). Zbl 0361.55003
Massey, William S.; Stallings, John
1977
Brick’s quasi simple filtrations for groups and 3-manifolds. Zbl 0838.57001
Stallings, John R.
1993
Finiteness properties of matrix representations. Zbl 0604.20027
Stallings, John R.
1986
Quotients of the powers of the augmentation ideal in a group ring. Zbl 0313.20019
Stallings, John R.
1975
Generic elements in certain groups. Zbl 0867.20025
Stallings, John R.
1995
Combinatorial group theory and topology. (Selected papers from a conference held at Alta, Utah, July 15-18, 1984). Zbl 0611.00010
Gersten, S. M. (ed.); Stallings, John R. (ed.)
1987
The Todd-Coxeter process, using graphs. Zbl 0619.20014
Stallings, John R.; Wolf, A. Royce
1987
Groups of cohomological dimension one. Zbl 0247.20056
Stallings, John
1970
A remark about the description of free products of groups. Zbl 0133.28103
Stallings, J.
1966
An extension theorem for Euler characteristics of groups. Zbl 1020.20035
Stallings, John R.
2002
Surfaces mapping to wedges of spaces. A topological variant of the Grushko-Neumann theorem. Zbl 1015.20023
Stallings, John R.
2000
Group theory and 3-manifolds. Zbl 0225.55007
Stallings, John R.
1971
The cohomology of pregroups. Zbl 0263.18016
Stallings, John R.
1973
Groups with infinite products. Zbl 0128.02706
Stallings, J.
1962
Coherence of 3-manifold fundamental groups. Zbl 0388.20028
Stallings, John
1977
Geometric understanding of the angle between subgroups. Zbl 0869.20022
Stallings, John R.
1995
On Gauss’s first proof of the fundamental theorem of algebra. Zbl 0648.20036
Gersten, S. M.; Stallings, John R.
1988
An extension theorem for Euler characteristics of groups. Zbl 1020.20035
Stallings, John R.
2002
Surfaces mapping to wedges of spaces. A topological variant of the Grushko-Neumann theorem. Zbl 1015.20023
Stallings, John R.
2000
Whitehead graphs on handlebodies. Zbl 1127.57300
Stallings, John R.
1999
Problems about free quotients of groups. Zbl 0869.20012
Stallings, John R.
1995
Generic elements in certain groups. Zbl 0867.20025
Stallings, John R.
1995
Geometric understanding of the angle between subgroups. Zbl 0869.20022
Stallings, John R.
1995
Brick’s quasi simple filtrations for groups and 3-manifolds. Zbl 0838.57001
Stallings, John R.
1993
Casson’s idea about $$3$$-manifolds whose universal cover is $${\mathbb{R}}^ 3$$. Zbl 0739.57010
Stallings, John R.; Gersten, S. M.
1992
Non-positively curved triangles of groups. Zbl 0843.20033
Stallings, John R.
1991
Foldings of $$G$$-trees. Zbl 0782.20018
Stallings, John R.
1991
Irreducible outer automorphisms of a free group. Zbl 0717.20026
Gersten, S. M.; Stallings, J. R.
1991
On Gauss’s first proof of the fundamental theorem of algebra. Zbl 0648.20036
Gersten, S. M.; Stallings, John R.
1988
A graph-theoretic lemma and group-embeddings. Zbl 0615.05034
Stallings, John R.
1987
Graphical theory of automorphisms of free groups. Zbl 0619.20011
Stallings, John R.
1987
Combinatorial group theory and topology. (Selected papers from a conference held at Alta, Utah, July 15-18, 1984). Zbl 0611.00010
Gersten, S. M.; Stallings, John R.
1987
The Todd-Coxeter process, using graphs. Zbl 0619.20014
Stallings, John R.; Wolf, A. Royce
1987
Finiteness properties of matrix representations. Zbl 0604.20027
Stallings, John R.
1986
Topology of finite graphs. Zbl 0521.20013
Stallings, John R.
1983
Surfaces in three-manifolds and non-singular equations in groups. Zbl 0496.57006
Stallings, John R.
1983
Topologically unrealizable automorphisms of free groups. Zbl 0477.20012
Stallings, John R.
1982
Constructions of fibred knots and links. Zbl 0394.57007
Stallings, John R.
1978
Algebraic topology: An introduction. (Algebraiceskaja topologija. Vvedenie.). Zbl 0361.55003
Massey, William S.; Stallings, John
1977
Coherence of 3-manifold fundamental groups. Zbl 0388.20028
Stallings, John
1977
Quotients of the powers of the augmentation ideal in a group ring. Zbl 0313.20019
Stallings, John R.
1975
The cohomology of pregroups. Zbl 0263.18016
Stallings, John R.
1973
Group theory and three-dimensional manifolds. Zbl 0241.57001
Stallings, John
1971
Group theory and 3-manifolds. Zbl 0225.55007
Stallings, John R.
1971
Groups of cohomological dimension one. Zbl 0247.20056
Stallings, John
1970
On torsion-free groups with infinitely many ends. Zbl 0238.20036
Stallings, John R.
1968
Lectures on polyhedral topology. Zbl 0182.26203
Stallings, J. R.
1968
Groups of dimension 1 are locally free. Zbl 0157.05302
Stallings, J.
1968
How not to prove the Poincaré conjecture. Zbl 0152.22604
Stallings, J.
1966
A remark about the description of free products of groups. Zbl 0133.28103
Stallings, J.
1966
Homology and central series of groups. Zbl 0135.05201
Stallings, J.
1965
Centerless groups – an algebraic formulation of Gottlieb’s theorem. Zbl 0201.36001
Stallings, John
1965
A topological proof of Grushko’s theorem on free products. Zbl 0135.04603
Stallings, J. R.
1965
Whitehead torsion of free products. Zbl 0132.26804
Stallings, J.
1965
A finitely presented group whose 3-dimensional integral homology is not finitely generated. Zbl 0122.27301
Stallings, J.
1963
On topologically unknotted spheres. Zbl 0121.18202
Stallings, J.
1963
On fibering certain 3-manifolds. Zbl 1246.57049
Stallings, John
1962
The piecewise-linear structure of euclidean space. Zbl 0107.40203
Stallings, J.
1962
On the recursiveness of sets of presentations of 3-manifold groups. Zbl 0121.40006
Stallings, J. R.
1962
Groups with infinite products. Zbl 0128.02706
Stallings, J.
1962
On the loop theorem. Zbl 0094.36103
Stallings, John
1960
Polyhedral homotopy-spheres. Zbl 0111.18901
Stallings, John R.
1960
Uncountably many wild disks. Zbl 0116.14805
Stallings, J. R.
1960
Fixed point theorems for connectivity maps. Zbl 0114.39102
Stallings, J.
1959
all top 5

#### Cited by 1,190 Authors

 17 Kapovich, Ilya 14 Myasnikov, Alexei G. 14 Steinberg, Benjamin 13 Friedl, Stefan 12 Gersten, Stephen M. 12 Weil, Pascal 11 Mundici, Daniele 10 Ivanov, Sergei Vladimirovich 10 Ventura Capell, Enric 9 Margolis, Stuart W. 8 Ciesielski, Krzysztof Chris 8 Cochran, Thomas (Tim) Daniel 8 Freedman, Michael Hartley 8 Howie, James 8 Silva, Pedro V. 7 Baumslag, Gilbert 7 Bridson, Martin R. 7 Calegari, Danny Matthew Cornelius 7 Meakin, John C. 7 Mosher, Lee 7 Sakasai, Takuya 7 Schupp, Paul E. 7 Suciu, Alexander I. 7 Wise, Daniel T. 7 Zieschang, Heiner 6 Cabrer, Leonardo Manuel 6 Cha, Jae Choon 6 Cheng, Charles Ching-An 6 Corson, Jon Michael 6 Gonçalves, Daciberg Lima 6 Jaco, William H. 6 Johnson, Francis E. A. 6 Kharlampovich, Olga G. 6 Martino, Armando 6 Mihalik, Michael L. 6 Otera, Daniele Ettore 6 Puder, Doron 6 Remeslennikov, Vladimir Nikanorovich 6 Sapir, Mark Valentinovich 6 Serbin, Denis E. 6 Wilton, Henry John Rutley 6 Woess, Wolfgang 5 Chiswell, Ian M. 5 Dranishnikov, Alexander Nikolaevich 5 Dunwoody, Martin John 5 Goldstein, Richard Z. 5 Guaschi, John 5 Harvey, Shelly L. 5 Hillman, Jonathan Arthur 5 Imrich, Wilfried 5 Kambites, Mark 5 Kellum, Kenneth R. 5 Kielak, Dawid 5 Krushkal, Vyacheslav S. 5 Laudenbach, François 5 Levine, Jerome P. 5 Lohrey, Markus 5 Massuyeau, Gwénaël 5 Mitchell, Barry 5 Müller, Thomas W. 5 Pawlak, Ryszard Jerzy 5 Poénaru, Valentin 5 Powell, Mark 5 Ratcliffe, John G. 5 Seoane-Sepúlveda, Juan Benigno 5 Siebenmann, Laurence C. 5 Swarup, G. Ananda 5 Teichner, Peter 5 Ushakov, Alexander S. 5 Vidussi, Stefano 5 Weidmann, Richard 5 Zalesskii, Pavel 4 Abels, Herbert 4 Bestvina, Mladen 4 Bieri, Robert 4 Boileau, Michel Charles 4 Burde, Gerhard 4 Ceccherini-Silberstein, Tullio G. 4 Choo, Koo-Guan 4 Coornaert, Michel 4 Dunfield, Nathan M. 4 Feustel, Charles D. 4 Gadgil, Siddhartha 4 Gordon, Cameron McA. 4 Hendriks, Harrie 4 Horbez, Camille 4 Kleiner, Bruce 4 Klyachko, Anton Aleksandrovich 4 Kochloukova, Dessislava Hristova 4 Krön, Bernhard 4 Kwun, Kyung Whan 4 Loranty, Anna 4 Louder, Larsen 4 Mikhaĭlov, Roman Valer’evich 4 Natkaniec, Tomasz 4 Neumann, Walter David 4 Ni, Yi 4 Osin, Denis V. 4 Papadima, Ștefan 4 Rismanchian, Mohammad Reza ...and 1,090 more Authors
all top 5

#### Cited in 198 Serials

 81 Transactions of the American Mathematical Society 76 Journal of Algebra 72 Proceedings of the American Mathematical Society 70 Topology and its Applications 69 Journal of Pure and Applied Algebra 52 Algebraic & Geometric Topology 51 Inventiones Mathematicae 44 International Journal of Algebra and Computation 42 Mathematische Zeitschrift 37 Geometry & Topology 36 Bulletin of the American Mathematical Society 33 Mathematische Annalen 26 Geometriae Dedicata 25 Communications in Algebra 25 Mathematical Proceedings of the Cambridge Philosophical Society 22 Israel Journal of Mathematics 21 Advances in Mathematics 19 Journal of Knot Theory and its Ramifications 19 Journal of Group Theory 16 Archiv der Mathematik 14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Journal of the American Mathematical Society 11 Theoretical Computer Science 10 Discrete Mathematics 10 Annales de l’Institut Fourier 10 Journal of the Australian Mathematical Society 9 Geometric and Functional Analysis. GAFA 9 Bulletin of the American Mathematical Society. New Series 9 Journal of Topology and Analysis 8 Compositio Mathematica 8 Semigroup Forum 8 Groups, Geometry, and Dynamics 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Forum Mathematicum 6 Bulletin of the Australian Mathematical Society 6 Algebra and Logic 6 Duke Mathematical Journal 6 Journal of Soviet Mathematics 6 Michigan Mathematical Journal 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of Mathematical Sciences (New York) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications in Mathematical Physics 5 Mathematical Notes 5 Glasgow Mathematical Journal 5 Journal für die Reine und Angewandte Mathematik 5 Memoirs of the American Mathematical Society 5 Groups, Complexity, Cryptology 4 Rocky Mountain Journal of Mathematics 4 Acta Mathematica 4 Osaka Journal of Mathematics 4 Experimental Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Topology 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Algebra Universalis 3 Bulletin of the London Mathematical Society 3 Bulletin de la Société Mathématique de France 3 Commentarii Mathematici Helvetici 3 Illinois Journal of Mathematics 3 Mathematica Slovaca 3 Proceedings of the Japan Academy. Series A 3 Results in Mathematics 3 Siberian Mathematical Journal 3 Acta Applicandae Mathematicae 3 Annals of Pure and Applied Logic 3 $$K$$-Theory 3 International Journal of Mathematics 3 Expositiones Mathematicae 3 Topology Proceedings 3 Algebra Colloquium 3 Annals of Mathematics. Second Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Homotopy and Related Structures 3 European Journal of Mathematics 3 Winter Braids Lecture Notes 2 Publications Mathématiques 2 Journal of Computer and System Sciences 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Tohoku Mathematical Journal. Second Series 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 Acta Mathematica Hungarica 2 L’Enseignement Mathématique. 2e Série 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Russian Mathematics 2 Combinatorics, Probability and Computing 2 Selecta Mathematica. New Series 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Electronic Research Announcements of the American Mathematical Society 2 Sbornik: Mathematics 2 Conformal Geometry and Dynamics 2 Revista Matemática Complutense 2 Communications in Contemporary Mathematics 2 Mediterranean Journal of Mathematics ...and 98 more Serials
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#### Cited in 48 Fields

 658 Group theory and generalizations (20-XX) 599 Manifolds and cell complexes (57-XX) 114 Algebraic topology (55-XX) 112 Combinatorics (05-XX) 66 Computer science (68-XX) 64 General topology (54-XX) 61 Associative rings and algebras (16-XX) 47 Dynamical systems and ergodic theory (37-XX) 46 Category theory; homological algebra (18-XX) 43 Differential geometry (53-XX) 37 Mathematical logic and foundations (03-XX) 29 Functions of a complex variable (30-XX) 28 Algebraic geometry (14-XX) 27 Topological groups, Lie groups (22-XX) 22 Several complex variables and analytic spaces (32-XX) 21 Real functions (26-XX) 20 Nonassociative rings and algebras (17-XX) 19 Functional analysis (46-XX) 16 Number theory (11-XX) 15 General algebraic systems (08-XX) 15 $$K$$-theory (19-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 13 Convex and discrete geometry (52-XX) 12 Geometry (51-XX) 11 Probability theory and stochastic processes (60-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 History and biography (01-XX) 9 Abstract harmonic analysis (43-XX) 8 Measure and integration (28-XX) 7 Commutative algebra (13-XX) 5 Quantum theory (81-XX) 4 Field theory and polynomials (12-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

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