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## Sela, Zlil

Compute Distance To:
 Author ID: sela.zlil Published as: Sela, Z.; Sela, Zlil External Links: MGP · Wikidata
 Documents Indexed: 22 Publications since 1990

#### Co-Authors

 18 single-authored 3 Rips, Eliyahu 1 Jaligot, Eric
all top 5

#### Serials

 6 Israel Journal of Mathematics 4 Geometric and Functional Analysis. GAFA 3 Annals of Mathematics. Second Series 2 Inventiones Mathematicae 2 Topology 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Proceedings of the London Mathematical Society. Third Series
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#### Fields

 21 Group theory and generalizations (20-XX) 11 Mathematical logic and foundations (03-XX) 11 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 5 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 677 times in 354 Documents Cited by Year
Diophantine geometry over groups. I: Makanin-Razborov diagrams. Zbl 1018.20034
Sela, Zlil
2001
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
2006
Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition. Zbl 0910.57002
Rips, E.; Sela, Z.
1997
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank $$1$$ Lie groups. II. Zbl 0884.20025
Sela, Z.
1997
Acylindrical accessibility for groups. Zbl 0887.20017
Sela, Z.
1997
Diophantine geometry over groups. VII: The elementary theory of a hyperbolic group. Zbl 1241.20049
Sela, Z.
2009
Diophantine geometry over groups. II: Completions, closures and formal solutions. Zbl 1028.20028
Sela, Z.
2003
Structure and rigidity in hyperbolic groups. I. Zbl 0818.20042
Rips, E.; Sela, Z.
1994
The isomorphism problem for hyperbolic groups. I. Zbl 0868.57005
Sela, Z.
1995
Canonical representatives and equations in hyperbolic groups. Zbl 0845.57002
Rips, E.; Sela, Z.
1995
Endomorphisms of hyperbolic groups. I: The Hopf property. Zbl 0929.20033
Sela, Z.
1999
Diophantine geometry over groups. VIII: Stability. Zbl 1285.20042
Sela, Z.
2013
Diophantine geometry over groups. III: Rigid and solid solutions. Zbl 1133.20020
Sela, Z.
2005
Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence. Zbl 1088.20017
Sela, Z.
2004
Uniform embeddings of hyperbolic groups in Hilbert spaces. Zbl 0785.46032
Sela, Zlil
1992
Diophantine geometry over groups. V$$_2$$: Quantifier elimination. II. Zbl 1118.20034
Sela, Z.
2006
Diophantine geometry over groups and the elementary theory of free and hyperbolic groups. Zbl 1060.20022
Sela, Z.
2002
The Nielsen-Thurston classification and automorphisms of a free group. I. Zbl 0858.20019
Sela, Z.
1996
Diophantine geometry over groups. V$$_1$$: Quantifier elimination. I. Zbl 1148.20022
Sela, Z.
2005
Makanin-Razborov diagrams over free products. Zbl 1252.20043
Jaligot, Eric; Sela, Zlil
2010
The conjugacy problem for knot groups. Zbl 0804.57004
Sela, Z.
1993
Dehn fillings that reduce Thurston norm. Zbl 0714.57009
Sela, Zlil
1990
Diophantine geometry over groups. VIII: Stability. Zbl 1285.20042
Sela, Z.
2013
Makanin-Razborov diagrams over free products. Zbl 1252.20043
Jaligot, Eric; Sela, Zlil
2010
Diophantine geometry over groups. VII: The elementary theory of a hyperbolic group. Zbl 1241.20049
Sela, Z.
2009
Diophantine geometry over groups. VI: The elementary theory of a free group. Zbl 1118.20035
Sela, Z.
2006
Diophantine geometry over groups. V$$_2$$: Quantifier elimination. II. Zbl 1118.20034
Sela, Z.
2006
Diophantine geometry over groups. III: Rigid and solid solutions. Zbl 1133.20020
Sela, Z.
2005
Diophantine geometry over groups. V$$_1$$: Quantifier elimination. I. Zbl 1148.20022
Sela, Z.
2005
Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence. Zbl 1088.20017
Sela, Z.
2004
Diophantine geometry over groups. II: Completions, closures and formal solutions. Zbl 1028.20028
Sela, Z.
2003
Diophantine geometry over groups and the elementary theory of free and hyperbolic groups. Zbl 1060.20022
Sela, Z.
2002
Diophantine geometry over groups. I: Makanin-Razborov diagrams. Zbl 1018.20034
Sela, Zlil
2001
Endomorphisms of hyperbolic groups. I: The Hopf property. Zbl 0929.20033
Sela, Z.
1999
Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition. Zbl 0910.57002
Rips, E.; Sela, Z.
1997
Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank $$1$$ Lie groups. II. Zbl 0884.20025
Sela, Z.
1997
Acylindrical accessibility for groups. Zbl 0887.20017
Sela, Z.
1997
The Nielsen-Thurston classification and automorphisms of a free group. I. Zbl 0858.20019
Sela, Z.
1996
The isomorphism problem for hyperbolic groups. I. Zbl 0868.57005
Sela, Z.
1995
Canonical representatives and equations in hyperbolic groups. Zbl 0845.57002
Rips, E.; Sela, Z.
1995
Structure and rigidity in hyperbolic groups. I. Zbl 0818.20042
Rips, E.; Sela, Z.
1994
The conjugacy problem for knot groups. Zbl 0804.57004
Sela, Z.
1993
Uniform embeddings of hyperbolic groups in Hilbert spaces. Zbl 0785.46032
Sela, Zlil
1992
Dehn fillings that reduce Thurston norm. Zbl 0714.57009
Sela, Zlil
1990
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#### Cited by 319 Authors

 22 Myasnikov, Alexei G. 17 Kharlampovich, Olga G. 14 Guirardel, Vincent 14 Kapovich, Ilya 12 Dahmani, François 10 Bridson, Martin R. 10 Osin, Denis V. 10 Sklinos, Rizos 9 Rosenberger, Gerhard 9 Sela, Zlil 8 Levitt, Gilbert 7 Kochloukova, Dessislava Hristova 7 Weidmann, Richard 7 Wilton, Henry John Rutley 6 Diekert, Volker 6 Fine, Benjamin L. 6 Groves, Daniel P. 6 Plotkin, Boris 6 Touikan, Nicholas W. M. 6 Wise, Daniel T. 6 Zalesskii, Pavel 5 Bowditch, Brian H. 5 Louder, Larsen 5 Perin, Chloé 5 Plotkin, Eugene 4 Bumagin, Inna 4 Casals-Ruiz, Montserrat 4 Ciobanu, Laura 4 Gaglione, Anthony M. 4 Howie, James 4 Kazachkov, Ilya V. 4 Lafont, Jean-François 4 Lohrey, Markus 4 Minasyan, Ashot 4 Scott, G. Peter 4 Spellman, Dennis 3 Baumslag, Gilbert 3 Druţu, Cornelia 3 Fujiwara, Koji 3 Lustig, Martin 3 Martino, Armando 3 Mj, Mahan 3 Mosher, Lee 3 Rips, Eliyahu 3 Romanovskii, N. S. 3 Sapir, Mark Valentinovich 3 Shahryari, Mohammad 3 Short, Hamish 3 Swarup, Gadde A. 2 Abbott, Carolyn R. 2 Aladova, Elena V. 2 Bartholdi, Laurent 2 Beeker, Benjamin 2 Belegradek, Igor 2 Belegradek, Oleg V. 2 Bogopolski, Oleg 2 Caprace, Pierre-Emmanuel 2 Champetier, Christophe 2 Chatterji, Indira 2 Chifan, Ionuţ 2 Cleary, Sean 2 de la Harpe, Pierre 2 Delzant, Thomas 2 Dowdall, Spencer 2 Durham, Matthew Gentry 2 Elder, Murray J. 2 Gaboriau, Damien 2 Garreta, Albert 2 Gelander, Tsachik 2 Hagen, Mark F. 2 Jaligot, Eric 2 Jeż, Artur 2 Kida, Yoshikata 2 Lee, Donghi 2 Liang, Hao 2 Liu, Yi 2 Maher, Joseph 2 Manning, Jason Fox 2 Martin, Alexandre 2 O Rourke, Shane 2 Papasoglu, Panos 2 Paulin, Frédéric 2 Poizat, Bruno Petrovich 2 Reeves, Lawrence D. 2 Rosenberger, Anja 2 Sakuma, Makoto 2 Schupp, Paul E. 2 Serbin, Denis E. 2 Sisto, Alessandro 2 Sohrabi, Mahmood 2 Sykiotis, Mihalis 2 Taam, Alexander 2 Taylor, Samuel Joseph 2 Ventura Capell, Enric 2 Yu, Guoliang 1 Adyan, Sergeĭ Ivanovich 1 Agol, Ian 1 Akhmedov, Azer 1 Alfuraidan, Monther Rashed 1 Alibegović, Emina ...and 219 more Authors
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#### Cited in 95 Serials

 32 International Journal of Algebra and Computation 24 Geometry & Topology 19 Transactions of the American Mathematical Society 18 Journal of Algebra 17 Israel Journal of Mathematics 14 Algebraic & Geometric Topology 12 Geometriae Dedicata 11 Inventiones Mathematicae 9 Groups, Geometry, and Dynamics 8 Communications in Algebra 8 Journal of Pure and Applied Algebra 8 Proceedings of the American Mathematical Society 7 Journal of Group Theory 6 Annales de l’Institut Fourier 6 Mathematische Annalen 5 Algebra and Logic 5 Duke Mathematical Journal 5 Annals of Pure and Applied Logic 5 Geometric and Functional Analysis. GAFA 4 Memoirs of the American Mathematical Society 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Annals of Mathematics. Second Series 4 Journal of Topology and Analysis 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Zeitschrift 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Siberian Mathematical Journal 3 Topology and its Applications 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Mathematical Logic Quarterly (MLQ) 3 Groups, Complexity, Cryptology 3 Bulletin of Mathematical Sciences 2 Russian Mathematical Surveys 2 Acta Mathematica 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Illinois Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 The Journal of Symbolic Logic 2 Notre Dame Journal of Formal Logic 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 Information and Computation 2 Archive for Mathematical Logic 2 Electronic Research Announcements of the American Mathematical Society 2 Conformal Geometry and Dynamics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Topology 2 Transactions of the American Mathematical Society. Series B 1 Journal d’Analyse Mathématique 1 Chaos, Solitons and Fractals 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 International Journal of Game Theory 1 Journal of Computer and System Sciences 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Semigroup Forum 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Foundations of Computer Science 1 IMRN. International Mathematics Research Notices 1 Games and Economic Behavior 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Topological Methods in Nonlinear Analysis 1 Algebra Colloquium 1 Annales Mathématiques Blaise Pascal 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Journal of Algebra and its Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 International Journal of Group Theory 1 Annales Mathématiques du Québec 1 Electronic Journal of Graph Theory and Applications 1 Journal of Siberian Federal University. Mathematics & Physics 1 Journal of Combinatorial Algebra 1 Winter Braids Lecture Notes
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#### Cited in 29 Fields

 301 Group theory and generalizations (20-XX) 120 Manifolds and cell complexes (57-XX) 66 Mathematical logic and foundations (03-XX) 18 Topological groups, Lie groups (22-XX) 15 Differential geometry (53-XX) 14 Computer science (68-XX) 11 Algebraic geometry (14-XX) 10 Functional analysis (46-XX) 9 Combinatorics (05-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Associative rings and algebras (16-XX) 8 Functions of a complex variable (30-XX) 7 General algebraic systems (08-XX) 7 Algebraic topology (55-XX) 6 Number theory (11-XX) 6 $$K$$-theory (19-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Nonassociative rings and algebras (17-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX)

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