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## Brin, Matthew G.

Compute Distance To:
 Author ID: brin.matthew-g Published as: Brin, Matthew; Brin, Matthew G.
 Documents Indexed: 29 Publications since 1975, including 1 Book
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#### Co-Authors

 14 single-authored 4 Squier, Craig C. 4 Thickstun, Thomas L. 1 Berge, J. O. 1 Bleak, Collin 1 Bowlin, Garry S. 1 Guzmán, Fernando 1 Johannson, Klaus 1 Jones, Gareth A. 1 Kassabov, Martin 1 McMillan, D. R. jun. 1 Moore, Justin Tatch 1 Rauschenberg, David E. 1 Scott, G. Peter 1 Singerman, David 1 Zaremsky, Matthew Curtis Burkholder
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#### Serials

 3 International Journal of Algebra and Computation 2 Communications in Algebra 2 Journal of Algebra 2 Pacific Journal of Mathematics 2 Topology 2 Transactions of the American Mathematical Society 1 Houston Journal of Mathematics 1 Geometriae Dedicata 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 European Journal of Combinatorics 1 Publicacions Matemàtiques 1 Expositiones Mathematicae 1 Journal of Group Theory 1 Groups, Geometry, and Dynamics 1 Journal of Combinatorial Algebra
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#### Fields

 21 Manifolds and cell complexes (57-XX) 17 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

28 Publications have been cited 344 times in 223 Documents Cited by Year
Groups of piecewise linear homeomorphisms of the real line. Zbl 0563.57022
Brin, Matthew G.; Squier, Craig C.
1985
Higher dimensional Thompson groups. Zbl 1136.20025
Brin, Matthew G.
2004
On the Zappa-Szép product. Zbl 1078.20062
Brin, Matthew G.
2005
The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics. Zbl 0891.57037
Brin, Matthew G.
1996
The algebra of strand splitting. I: A braided version of Thompson’s group $$V$$. Zbl 1169.20021
Brin, Matthew G.
2007
Automorphisms of generalized Thompson groups. Zbl 0930.20039
Brin, Matthew G.; Guzmán, Fernando
1998
Presentations, conjugacy, roots, and centralizers in groups of piecewise linear homeomorphisms of the real line. Zbl 0986.57025
Brin, Matthew G.; Squier, Craig C.
2001
The ubiquity of Thompson’s group $$F$$ in groups of piecewise linear homeomorphisms of the unit interval. Zbl 0957.20025
Brin, Matthew G.
1999
Elementary amenable subgroups of R. Thompson’s group $$F$$. Zbl 1110.20018
Brin, Matthew G.
2005
The algebra of strand splitting. II: A presentation for the braid group on one strand. Zbl 1170.20306
Brin, Matthew G.
2006
Open, irreducible 3-manifolds which are end 1-movable. Zbl 0622.57010
Brin, Matthew G.; Thickstun, T. L.
1987
3-manifolds which are end 1-movable. Zbl 0695.57009
Brin, Matthew G.; Thickstun, T. L.
1989
On the baker’s map and the simplicity of the higher dimensional Thompson groups $$nV$$. Zbl 1236.20034
Brin, Matthew G.
2010
On the proper Steenrod homotopy groups, and proper embeddings of planes into 3-manifolds. Zbl 0567.57012
Brin, Matthew G.; Thickstun, T. L.
1985
The free group of rank 2 is a limit of Thompson’s group $$F$$. Zbl 1248.20046
Brin, Matthew G.
2010
On the genus of $${\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3$$. Zbl 0658.05022
Brin, Matthew G.; Squier, Craig C.
1988
Coloring planar graphs via colored paths in the associahedra. Zbl 1273.05060
Bowlin, Garry; Brin, Matthew G.
2013
Presentations of higher dimensional Thompson groups. Zbl 1135.20022
Brin, Matthew G.
2005
On the genus of the semidirect product of $${\mathbb{Z}}_ 9$$ by $${\mathbb{Z}}_ 3$$. Zbl 0666.05039
Brin, Matthew G.; Rauschenberg, David E.; Squier, Craig C.
1989
Totally peripheral 3-manifolds. Zbl 0525.57010
Brin, Matthew; Johannson, Klaus; Scott, Peter
1985
Generalized three-manifolds with zero-dimensional nonmanifold set. Zbl 0432.57003
Brin, Matthew G.; McMillan, D. R. jun.
1981
Groups of fast homeomorphisms of the interval and the ping-pong argument. Zbl 07047429
Bleak, Collin; Brin, Matthew G.; Kassabov, Martin; Moore, Justin Tatch; Zaremsky, Matthew C. B.
2019
Torsion free actions on 1-acyclic manifolds and the loop theorem. Zbl 0473.57002
Brin, Matthew G.
1981
Coherence of associativity in categories with multiplication. Zbl 1068.18008
Brin, Matthew G.
2005
Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. Zbl 1276.57003
Brin, Matthew G.; Jones, Gareth A.; Singerman, David
2013
On properly embedding non-compact surfaces in arbitrary 3-manifolds. Zbl 0597.57007
Brin, Matthew G.; Thickstun, T. L.
1987
Generalized 3-manifolds whose nonmanifold set has neighborhoods bounded by tori. Zbl 0483.57006
Brin, Matthew G.
1981
Improving 3-manifold compactifications of open 3-manifolds. Zbl 0391.57012
Brin, Matthew G.
1978
Groups of fast homeomorphisms of the interval and the ping-pong argument. Zbl 07047429
Bleak, Collin; Brin, Matthew G.; Kassabov, Martin; Moore, Justin Tatch; Zaremsky, Matthew C. B.
2019
Coloring planar graphs via colored paths in the associahedra. Zbl 1273.05060
Bowlin, Garry; Brin, Matthew G.
2013
Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. Zbl 1276.57003
Brin, Matthew G.; Jones, Gareth A.; Singerman, David
2013
On the baker’s map and the simplicity of the higher dimensional Thompson groups $$nV$$. Zbl 1236.20034
Brin, Matthew G.
2010
The free group of rank 2 is a limit of Thompson’s group $$F$$. Zbl 1248.20046
Brin, Matthew G.
2010
The algebra of strand splitting. I: A braided version of Thompson’s group $$V$$. Zbl 1169.20021
Brin, Matthew G.
2007
The algebra of strand splitting. II: A presentation for the braid group on one strand. Zbl 1170.20306
Brin, Matthew G.
2006
On the Zappa-Szép product. Zbl 1078.20062
Brin, Matthew G.
2005
Elementary amenable subgroups of R. Thompson’s group $$F$$. Zbl 1110.20018
Brin, Matthew G.
2005
Presentations of higher dimensional Thompson groups. Zbl 1135.20022
Brin, Matthew G.
2005
Coherence of associativity in categories with multiplication. Zbl 1068.18008
Brin, Matthew G.
2005
Higher dimensional Thompson groups. Zbl 1136.20025
Brin, Matthew G.
2004
Presentations, conjugacy, roots, and centralizers in groups of piecewise linear homeomorphisms of the real line. Zbl 0986.57025
Brin, Matthew G.; Squier, Craig C.
2001
The ubiquity of Thompson’s group $$F$$ in groups of piecewise linear homeomorphisms of the unit interval. Zbl 0957.20025
Brin, Matthew G.
1999
Automorphisms of generalized Thompson groups. Zbl 0930.20039
Brin, Matthew G.; Guzmán, Fernando
1998
The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics. Zbl 0891.57037
Brin, Matthew G.
1996
3-manifolds which are end 1-movable. Zbl 0695.57009
Brin, Matthew G.; Thickstun, T. L.
1989
On the genus of the semidirect product of $${\mathbb{Z}}_ 9$$ by $${\mathbb{Z}}_ 3$$. Zbl 0666.05039
Brin, Matthew G.; Rauschenberg, David E.; Squier, Craig C.
1989
On the genus of $${\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3\times {\mathbb{Z}}_ 3$$. Zbl 0658.05022
Brin, Matthew G.; Squier, Craig C.
1988
Open, irreducible 3-manifolds which are end 1-movable. Zbl 0622.57010
Brin, Matthew G.; Thickstun, T. L.
1987
On properly embedding non-compact surfaces in arbitrary 3-manifolds. Zbl 0597.57007
Brin, Matthew G.; Thickstun, T. L.
1987
Groups of piecewise linear homeomorphisms of the real line. Zbl 0563.57022
Brin, Matthew G.; Squier, Craig C.
1985
On the proper Steenrod homotopy groups, and proper embeddings of planes into 3-manifolds. Zbl 0567.57012
Brin, Matthew G.; Thickstun, T. L.
1985
Totally peripheral 3-manifolds. Zbl 0525.57010
Brin, Matthew; Johannson, Klaus; Scott, Peter
1985
Generalized three-manifolds with zero-dimensional nonmanifold set. Zbl 0432.57003
Brin, Matthew G.; McMillan, D. R. jun.
1981
Torsion free actions on 1-acyclic manifolds and the loop theorem. Zbl 0473.57002
Brin, Matthew G.
1981
Generalized 3-manifolds whose nonmanifold set has neighborhoods bounded by tori. Zbl 0483.57006
Brin, Matthew G.
1981
Improving 3-manifold compactifications of open 3-manifolds. Zbl 0391.57012
Brin, Matthew G.
1978
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#### Cited by 250 Authors

 11 Brin, Matthew G. 9 Bleak, Collin 9 Sapir, Mark Valentinovich 8 Cleary, Sean 8 Matucci, Francesco 7 Burillo, José 7 Martínez-Pérez, Conchita 6 Dehornoy, Patrick 6 Zaremsky, Matthew Curtis Burkholder 5 Donnelly, John B. 5 Guba, Victor S. 5 Kochloukova, Dessislava Hristova 5 Lodha, Yash 4 Birget, Jean-Camille 4 Lawson, Mark Verus 4 Nucinkis, Brita E. A. 3 Ayala, Rafael 3 Belk, James M. 3 Brownlowe, Nathan 3 Çevik, Ahmet Sinan 3 Funar, Louis 3 Golan, Gili 3 Ikeda, Toru 3 Kassabov, Martin 3 Koberda, Thomas 3 Mihalik, Michael L. 3 Navas, Andrés 3 Ol’shanskiĭ, Aleksandr Yur’evich 3 Pisanski, Tomaž 3 Repovš, Dušan D. 3 Röver, Claas E. 3 Squier, Craig C. 3 Taback, Jennifer 3 Thickstun, Thomas L. 3 Witzel, Stefan 2 Akhmedov, Azer 2 Ateş, Firat 2 Bux, Kai-Uwe 2 Calegari, Danny Matthew Cornelius 2 Cárdenas, Manuel 2 Domínguez, Eduardo 2 Gill, Nick 2 Grigorchuk, Rostislav Ivanovich 2 Guilbault, Craig R. 2 Hernández Paricio, Luis Javier 2 Kato, Motoko 2 Kim, Sang-Hyun 2 Lasheras, Francisco F. 2 Liousse, Isabelle 2 Matte Bon, Nicolás 2 Matui, Hiroki 2 Moore, Justin Tatch 2 Nguyen, Maxime 2 Porter, Timothy 2 Quintero, Adrian 2 Quintero, Antonio 2 Ramagge, Jacqui 2 Salazar-Díaz, Olga Patricia 2 Sankaran, Parameswaran 2 Short, Ian 2 Stein, Melanie I. 2 Šunić, Zoran 2 Triestino, Michele 2 Tschantz, Steven Thomas 2 Wallis, Alistair R. 2 White, Arthur T. 2 Whittaker, Michael F. 1 Abrams, Gene D. 1 Adams, Colin C. 1 Altınel, Tuna 1 Au, Yu-Hin 1 Bagherzadeh, Fatemeh 1 Baik, Hyungryul 1 Bartholdi, Laurent 1 Bédos, Erik 1 Ben Rejeb, Khadija 1 Bestvina, Mladen 1 Bieri, Robert 1 Bonatti, Christian 1 Bowman, Hannah 1 Brady, Noel 1 Bremner, Murray R. 1 Caprace, Pierre-Emmanuel 1 Carpentier, Rui Pedro 1 Cavicchioli, Alberto 1 Chakraborty, Prateep 1 Churchard, Peter 1 Cohen, Michael P. 1 Conner, Andrew 1 Crisp, John D. C. 1 Dicks, Warren 1 Domínguez, Enrique 1 Donoven, Casey 1 Dranishnikov, Alexander Nikolaevich 1 Elder, Murray J. 1 Erschler, Anna 1 Esen, Oğul 1 Farley, Daniel Scott 1 Finley, Davis W. 1 Fiore, Marcelo P. ...and 150 more Authors
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#### Cited in 83 Serials

 18 International Journal of Algebra and Computation 15 Groups, Geometry, and Dynamics 13 Journal of Algebra 11 Geometriae Dedicata 11 Journal of Pure and Applied Algebra 9 Topology and its Applications 8 Transactions of the American Mathematical Society 8 Geometry & Topology 5 Israel Journal of Mathematics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Advances in Mathematics 5 Inventiones Mathematicae 5 Semigroup Forum 5 Journal of Group Theory 4 Communications in Algebra 4 European Journal of Combinatorics 3 Rocky Mountain Journal of Mathematics 3 Annales de l’Institut Fourier 3 Journal of Knot Theory and its Ramifications 3 Algebraic & Geometric Topology 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of Graph Theory 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Ergodic Theory and Dynamical Systems 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Theory and Applications of Categories 2 Journal of Algebra and its Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Homotopy and Related Structures 2 Journal of Topology and Analysis 1 Archive for History of Exact Sciences 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Combinatorica 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 Aequationes Mathematicae 1 Glasnik Matematički. Serija III 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Topology Proceedings 1 Journal of Mathematical Sciences (New York) 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of Integer Sequences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 Asian-European Journal of Mathematics 1 Groups, Complexity, Cryptology 1 Bulletin of Mathematical Sciences 1 Arabian Journal of Mathematics 1 Axioms 1 Journal of Combinatorial Algebra 1 Algebraic Combinatorics
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#### Cited in 31 Fields

 157 Group theory and generalizations (20-XX) 89 Manifolds and cell complexes (57-XX) 37 Dynamical systems and ergodic theory (37-XX) 31 Combinatorics (05-XX) 19 Abstract harmonic analysis (43-XX) 14 Algebraic topology (55-XX) 13 Topological groups, Lie groups (22-XX) 12 Functional analysis (46-XX) 10 Computer science (68-XX) 9 General topology (54-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Mathematical logic and foundations (03-XX) 6 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 General algebraic systems (08-XX) 2 $$K$$-theory (19-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX)