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Lubotzky, Alexander

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Author ID: lubotzky.alexander Recent zbMATH articles by "Lubotzky, Alexander"
Published as: Lubotzky, A.; Lubotzky, Alex; Lubotzky, Alexander
External Links: MGP · Wikidata · GND
Documents Indexed: 155 Publications since 1979, including 7 Books
all top 5

Co-Authors

41 single-authored
8 Kantor, William M.
7 Larsen, Michael Jeffrey
7 Magid, Andy Roy
7 Shalev, Aner
6 Bass, Hyman
6 Mozes, Shahar
5 Kassabov, Martin
5 Mann, Avinoam
5 Meiri, Chen
4 Belolipetsky, Mikhail V.
4 Guralnick, Robert Michael
4 Jarden, Moshe
4 Pyber, László
4 Samuels, Beth
4 Vishne, Uzi
4 Zimmer, Robert J.
3 Kaufman, Tali
3 Meshulam, Roy
3 Nikolov, Nikolay Valeriev
3 Phillips, Ralph Saul
3 Sarnak, Peter Clive
2 Becker, Oren
2 Capdeboscq, Inna
2 Evra, Shai
2 Gelander, Tsachik
2 Goldfeld, Dorian Morris
2 Grunewald, Fritz J.
2 Haran, Dan
2 Luria, Zur
2 Marion, Claude
2 Raghunathan, Madabusi Santanam
2 Reid, Alan W.
2 Rosenthal, Ron
2 Segal, Daniel
2 Thom, Andreas Berthold
2 Venkataramana, Tyakal Nanjundiah
1 Abért, Miklós
1 Aravinda, C. S.
1 Avni, Nir
1 Babai, László
1 Bekka, Mohammed el Bachir
1 Ben-Ezra, David El-Chai
1 Birman, Joan S.
1 Böge, Sigrid
1 Borovik, Alexandre Vasilievich
1 Breuillard, Emmanuel
1 Burger, Marc
1 Cappell, Sylvain E.
1 De Chiffre, Marcus
1 de Cornulier, Yves
1 du Sautoy, Marcus P. F.
1 Farb, Benson
1 Garion, Shelly
1 Glebsky, Lev Yu.
1 Goldman, William M.
1 Golubev, Konstantin
1 Gongopadhyay, Krishnendu
1 Grigorchuk, Rostislav Ivanovich
1 Guth, Lawrence David
1 Hrushovski, Ehud
1 Kazhdan, David A.
1 Kontorovich, Alex V.
1 Kowalski, Emmanuel
1 Kropholler, Peter H.
1 Long, D. Darren
1 Long, Darren D.
1 Lubetzky, Eyal
1 Maher, Joseph
1 Malestein, Justin
1 Manning, Jason Fox
1 Martin, Benjamin M. S.
1 McCarthy, John D.
1 Minsky, Yair N.
1 Mj, Mahan
1 Myasnikov, Alexei G.
1 Nagnibeda, Tatiana
1 Oppenheim, Izhar
1 Pak, Igor
1 Parzanchevski, Ori
1 Rémy, Bertrand
1 Rosenzweig, Lior
1 Shalom, Yehuda
1 van den Dries, Lou
1 Weaver, Anthony
1 Weigel, Thomas S.
1 Weinberger, Shmuel
1 Weiss, Benjamin
1 Wilson, John Stuart
1 Wilton, Henry John Rutley
1 Wu, Conan
1 Zel’manov, Efim Isaakovich
all top 5

Serials

15 Journal of Algebra
10 Israel Journal of Mathematics
5 Duke Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Journal of the European Mathematical Society (JEMS)
5 Groups, Geometry, and Dynamics
4 American Journal of Mathematics
4 Bulletin of the London Mathematical Society
4 Geometriae Dedicata
4 Inventiones Mathematicae
4 Journal of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Annals of Mathematics. Second Series
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Advances in Mathematics
3 European Journal of Combinatorics
3 Notices of the American Mathematical Society
3 Progress in Mathematics
2 Communications on Pure and Applied Mathematics
2 Acta Mathematica
2 Commentarii Mathematici Helvetici
2 Proceedings of the London Mathematical Society. Third Series
2 International Journal of Algebra and Computation
2 Proceedings of the National Academy of Sciences of the United States of America
2 Transformation Groups
2 Journal of Group Theory
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Publicationes Mathematicae
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Topology
1 Transactions of the American Mathematical Society
1 Combinatorica
1 Discrete & Computational Geometry
1 SIAM Journal on Discrete Mathematics
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Pure and Applied Mathematics Quarterly
1 Contemporary Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Algebra & Number Theory
1 Journal of Topology
1 Japanese Journal of Mathematics. 3rd Series
1 Forum of Mathematics, Sigma
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 2,852 times in 1,936 Documents Cited by Year
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
348
1988
Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski. Zbl 0826.22012
Lubotzky, Alexander
177
1994
Varieties of representations of finitely generated groups. Zbl 0598.14042
Lubotzky, Alexander; Magid, Andy R.
123
1985
Powerful \(p\)-groups. I: Finite groups. Zbl 0626.20010
Lubotzky, Alexander; Mann, Avinoam
120
1987
Subgroup growth. Zbl 1071.20033
Lubotzky, Alexander; Segal, Dan
118
2003
The probability of generating a finite classical group. Zbl 0718.20011
Kantor, William M.; Lubotzky, Alexander
86
1990
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
75
1983
Expander graphs in pure and applied mathematics. Zbl 1232.05194
Lubotzky, Alexander
58
2012
Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski. Reprint of the 1994 original. Zbl 1183.22001
Lubotzky, Alexander
55
2010
The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
50
2000
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
47
1986
Subgroup growth and congruence subgroups. Zbl 0848.20036
Lubotzky, Alexander
44
1995
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
40
2001
Groups and expanders. Zbl 0787.05049
Lubotzky, A.; Weiss, B.
39
1993
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
37
1987
Cayley graphs: Eigenvalues, expanders and random walks. Zbl 0835.05033
Lubotzky, Alexander
36
1995
Powerful \(p\)-groups. II: \(p\)-adic analytic groups. Zbl 0626.20022
Lubotzky, Alexander; Mann, Avinoam
35
1987
Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\). Zbl 0541.20020
Lubotzky, Alexander
35
1983
Ramanujan complexes of type \(\widetilde A_d\). Zbl 1087.05036
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
34
2005
Lattices in rank one Lie groups over local fields. Zbl 0786.22017
Lubotzky, Alexander
34
1991
Rank-1 phenomena for mapping class groups. Zbl 1025.20023
Farb, Benson; Lubotzky, Alexander; Minsky, Yair
30
2001
Finitely generated groups of polynomial subgroup growth. Zbl 0811.20027
Lubotzky, Alexander; Mann, Avinoam; Segal, Dan
30
1993
Small-diameter Cayley graphs for finite simple groups. Zbl 0702.05042
Babai, L.; Kantor, W. M.; Lubotzky, A.
30
1989
Combinatorial group theory for pro-p groups. Zbl 0489.20024
Lubotzky, Alexander
29
1982
Representation growth of linear groups. Zbl 1142.22006
Larsen, Michael; Lubotzky, Alexander
28
2008
Normal automorphisms of free groups. Zbl 0432.20025
Lubotzky, Alexander
28
1980
Free quotients and the first Betti number of some hyperbolic manifolds. Zbl 0876.22015
Lubotzky, Alexander
27
1996
Subgroups of free profinite groups and large subfields of Q. Zbl 0485.20021
Lubotzky, Alexander; van den Dries, Lou
27
1981
Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\). Zbl 1135.05038
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
26
2005
On groups of polynomial subgroup growth. Zbl 0743.20040
Lubotzky, Alexander; Mann, Avinoam
26
1991
Linear representations of the automorphism group of a free group. Zbl 1175.20028
Grunewald, Fritz; Lubotzky, Alexander
25
2009
Finite simple groups as expanders. Zbl 1161.20010
Kassabov, Martin; Lubotzky, Alexander; Nikolov, Nikolay
25
2006
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
25
2001
On some \(\Lambda\)-analytic pro-\(p\) groups. Zbl 0819.20030
Lubotzky, Alexander; Shalev, Aner
25
1994
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
24
2002
A group theoretic characterization of linear groups. Zbl 0647.20045
Lubotzky, Alexander
23
1988
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
21
2007
Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem. Zbl 0885.11037
Lubotzky, Alexander
21
1996
Residually finite groups of finite rank. Zbl 0696.20031
Lubotzky, Alexander; Mann, Avinoam
21
1989
Polynomial representation growth and the congruence subgroup problem. Zbl 1134.20056
Lubotzky, Alexander; Martin, Benjamin
20
2004
Free quotients and the congruence kernel of \(SL_ 2\). Zbl 0495.20021
Lubotzky, Alexander
20
1982
Ramanujan complexes and high dimensional expanders. Zbl 1302.05095
Lubotzky, Alexander
19
2014
Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036
Kantor, W. M.; Lubotzky, A.; Shalev, A.
19
2011
Variants of Kazhdan’s property for subgroups of semisimple groups. Zbl 0706.22010
Lubotzky, Alexander; Zimmer, Robert J.
19
1989
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
17
2010
Finite representations in the unitary dual and Ramanujan groups. Zbl 1080.22006
Lubotzky, Alexander; Shalom, Yehuda
17
2004
Counting finite index subgroups. Zbl 0862.20020
Lubotzky, Alexander
16
1995
Automorphisms of groups and of schemes of finite type. Zbl 0517.14015
Bass, Hyman; Lubotzky, Alexander
16
1983
Pro-finite presentations. Zbl 0985.20017
Lubotzky, Alexander
15
2001
Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
15
1993
Cohomology of unipotent and prounipotent groups. Zbl 0473.20031
Lubotzky, Alexander; Magid, Andy R.
15
1982
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
14
2005
Linear-central filtrations on groups. Zbl 0817.20038
Bass, Hyman; Lubotzky, Alexander
14
1994
Mixing properties and the chromatic number of Ramanujan complexes. Zbl 1328.05208
Evra, Shai; Golubev, Konstantin; Lubotzky, Alexander
13
2015
Superrigidity for the commensurability group of tree lattices. Zbl 0839.22011
Lubotzky, A.; Mozes, S.; Zimmer, R. J.
13
1994
Isoperimetric inequalities for Ramanujan complexes and topological expanders. Zbl 1339.05075
Kaufman, Tali; Kazhdan, David; Lubotzky, Alexander
12
2016
Dynamics and \(\operatorname{Aut}(F_N)\) actions on group presentations and representations. Zbl 1266.20045
Lubotzky, Alexander
12
2011
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
12
2002
The expected number of random elements to generate a finite group. Zbl 1042.20047
Lubotzky, Alexander
12
2002
Nonarithmetic superrigid groups: Counterexamples to Platonov’s conjecture. Zbl 0963.22005
Bass, Hyman; Lubotzky, Alexander
12
2000
Arithmetic quotients of the mapping class group. Zbl 1334.57017
Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin
11
2015
Beauville surfaces and finite simple groups. Zbl 1255.20008
Garion, Shelly; Larsen, Michael; Lubotzky, Alexander
11
2012
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
11
2011
Invariable generation of infinite groups. Zbl 1318.20032
Kantor, William M.; Lubotzky, Alexander; Shalev, Aner
10
2015
Images of word maps in finite simple groups. Zbl 1318.20014
Lubotzky, Alexander
10
2014
Subgroup growth of lattices in semisimple Lie groups. Zbl 1145.22004
Lubotzky, Alexander; Nikolov, Nikolay
10
2004
Trees and discrete subgroups of Lie groups over local fields. Zbl 0676.22007
Lubotzky, Alexander
10
1989
Division algebras and noncommensurable isospectral manifolds. Zbl 1123.58020
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
9
2006
Lattices of minimal covolume in \(\text{SL}_2\) over local fields. Zbl 1026.22013
Lubotzky, A.; Weigel, Th.
9
1999
Lattices of minimal covolume in \(\mathrm{SL}_ 2\): a nonarchimedean analogue of Siegel’s theorem \(\mu\geq \pi /21\). Zbl 0731.22009
Lubotzky, Alexander
9
1990
On finite index subgroups of linear groups. Zbl 0597.20043
Lubotzky, Alexander
9
1987
Embedding covers and the theory of Frobenius fields. Zbl 0502.20013
Haran, Dan; Lubotzky, Alexander
9
1982
Expansion of building-like complexes. Zbl 1405.55019
Lubotzky, Alexander; Meshulam, Roy; Mozes, Shahar
8
2016
Sieve methods in group theory. I: Powers in linear groups. Zbl 1283.20075
Lubotzky, Alexander; Meiri, Chen
8
2012
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
8
2008
Enumerating boundedly generated finite groups. Zbl 1052.20017
Lubotzky, Alexander
8
2001
Not every uniform tree covers Ramanujan graphs. Zbl 1024.05021
Lubotzky, Alexander; Nagnibeda, Tatiana
8
1998
Functional equations and uniformity for local zeta functions of nilpotent groups. Zbl 0864.20020
Du Sautoy, Marcus P. F.; Lubotzky, Alexander
8
1996
Free prounipotent groups. Zbl 0503.20008
Lubotzky, Alexander; Magid, Andy R.
8
1983
Random Latin squares and 2-dimensional expanders. Zbl 1306.05020
Lubotzky, Alexander; Meshulam, Roy
7
2015
Finite simple groups of Lie type as expanders. Zbl 1257.20016
Lubotzky, Alexander
7
2011
Counting primes, groups, and manifolds. Zbl 1139.11324
Goldfeld, Dorian; Lubotzky, Alexander; Nikolov, Nikolay; Pyber, László
7
2004
Counting congruence subgroups. Zbl 1159.20329
Goldfeld, Dorian; Lubotzky, Alexander; Pyber, László
7
2004
Random normal subgroups of free profinite groups. Zbl 0928.20027
Jarden, Moshe; Lubotzky, Alexander
7
1999
Discrete groups of slow subgroup growth. Zbl 0877.20019
Lubotzky, Alexander; Pyber, László; Shalev, Aner
7
1996
Powers in finitely generated groups. Zbl 0871.20038
Hrushovski, E.; Kropholler, P. H.; Lubotzky, A.; Shalev, A.
7
1996
Subgroup growth. Zbl 0857.20013
Lubotzky, Alexander
7
1995
Cohomology, Poincaré series, and group algebras of unipotent groups. Zbl 0565.20023
Lubotzky, Alexander; Magid, Andy R.
7
1985
Maximal abelian subgroups of free profinite groups. Zbl 0562.20013
Haran, Dan; Lubotzky, Alexander
7
1985
Stability and invariant random subgroups. Zbl 07145001
Becker, Oren; Lubotzky, Alexander; Thom, Andreas
6
2019
Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
6
2014
Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds. Zbl 1298.81052
Guth, Larry; Lubotzky, Alexander
6
2014
Manifolds counting and class field towers. Zbl 1241.22014
Belolipetsky, Mikhail; Lubotzky, Alexander
6
2012
A Moore bound for simplicial complexes. Zbl 1180.13028
Lubotzky, Alexander; Meshulam, Roy
6
2007
Finite representations of adelic groups, the congruence kernel and cohomology of finite simple groups. Zbl 1188.20046
Lubotzky, Alexander
6
2005
Normal subgroup growth of linear groups: the \((G_2,F_4,E_8)\)-theorem. Zbl 1161.20305
Larsen, Michael; Lubotzky, Alexander
6
2004
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
6
2003
Rigidity of group actions on locally finite trees. Zbl 0808.20031
Bass, Hyman; Lubotzky, Alexander
6
1994
Torsion in profinite completions of torsion-free groups. Zbl 0829.20043
Lubotzky, Alexander
6
1993
Group stability and property (T). Zbl 07127791
Becker, Oren; Lubotzky, Alexander
4
2020
Stability, cohomology vanishing, and nonapproximable groups. Zbl 1456.22002
De Chiffre, Marcus; Glebsky, Lev; Lubotzky, Alexander; Thom, Andreas
3
2020
Stability and invariant random subgroups. Zbl 07145001
Becker, Oren; Lubotzky, Alexander; Thom, Andreas
6
2019
Generalized triangle groups, expanders, and a problem of Agol and Wise. Zbl 07058170
Lubotzky, Alexander; Manning, Jason Fox; Wilton, Henry
2
2019
Random Steiner systems and bounded degree coboundary expanders of every dimension. Zbl 1426.05183
Lubotzky, Alexander; Luria, Zur; Rosenthal, Ron
1
2019
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
1
2019
The congruence topology, Grothendieck duality and thin groups. Zbl 1448.11080
Lubotzky, Alexander; Venkataramana, Tyakal Nanjundiah
1
2019
High dimensional expanders. Zbl 1448.05125
Lubotzky, Alexander
1
2018
The congruence subgroup problem for low rank free and free metabelian groups. Zbl 1386.20027
Ben-Ezra, David El-Chai; Lubotzky, Alexander
1
2018
Good cyclic codes and the uncertainty principle. Zbl 1436.94116
Evra, Shai; Kowalski, Emmanuel; Lubotzky, Alexander
1
2017
Isoperimetric inequalities for Ramanujan complexes and topological expanders. Zbl 1339.05075
Kaufman, Tali; Kazhdan, David; Lubotzky, Alexander
12
2016
Expansion of building-like complexes. Zbl 1405.55019
Lubotzky, Alexander; Meshulam, Roy; Mozes, Shahar
8
2016
Random methods in 3-manifold theory. Zbl 1354.57026
Lubotzky, Alexander; Maher, Joseph; Wu, Conan
3
2016
Presentations: from Kac-Moody groups to profinite and back. Zbl 06723221
Capdeboscq, I.; Lubotzky, A.; Rémy, B.
2
2016
Mixing properties and the chromatic number of Ramanujan complexes. Zbl 1328.05208
Evra, Shai; Golubev, Konstantin; Lubotzky, Alexander
13
2015
Arithmetic quotients of the mapping class group. Zbl 1334.57017
Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin
11
2015
Invariable generation of infinite groups. Zbl 1318.20032
Kantor, William M.; Lubotzky, Alexander; Shalev, Aner
10
2015
Random Latin squares and 2-dimensional expanders. Zbl 1306.05020
Lubotzky, Alexander; Meshulam, Roy
7
2015
Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Zbl 1318.30003
Aravinda, C. S. (ed.); Goldman, William M. (ed.); Gongopadhyay, Krishnendu (ed.); Lubotzky, Alexander (ed.); Mj, Mahan (ed.); Weaver, Anthony (ed.)
2
2015
Ramanujan complexes and high dimensional expanders. Zbl 1302.05095
Lubotzky, Alexander
19
2014
Images of word maps in finite simple groups. Zbl 1318.20014
Lubotzky, Alexander
10
2014
Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
6
2014
Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds. Zbl 1298.81052
Guth, Larry; Lubotzky, Alexander
6
2014
High dimensional expanders and property testing. Zbl 1365.68462
Kaufman, Tali; Lubotzky, Alexander
5
2014
Deformation theory and finite simple quotients of triangle groups. II. Zbl 1312.20031
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
4
2014
The Galois group of random elements of linear groups. Zbl 1304.11125
Lubotzky, Alexander; Rosenzweig, Lior
2
2014
Finiteness properties and profinite completions. Zbl 1295.20029
Lubotzky, Alexander
1
2014
Representation varieties of Fuchsian groups. Zbl 1272.20054
Larsen, Michael; Lubotzky, Alexander
5
2013
On conjugacy growth of linear groups. Zbl 1278.20064
Breuillard, Emmanuel; Cornulier, Yves; Lubotzky, Alexander; Meiri, Chen
5
2013
Expander graphs in pure and applied mathematics. Zbl 1232.05194
Lubotzky, Alexander
58
2012
Beauville surfaces and finite simple groups. Zbl 1255.20008
Garion, Shelly; Larsen, Michael; Lubotzky, Alexander
11
2012
Sieve methods in group theory. I: Powers in linear groups. Zbl 1283.20075
Lubotzky, Alexander; Meiri, Chen
8
2012
Manifolds counting and class field towers. Zbl 1241.22014
Belolipetsky, Mikhail; Lubotzky, Alexander
6
2012
Sieve methods in group theory. II: The mapping class group. Zbl 1284.57017
Lubotzky, Alexander; Meiri, Chen
5
2012
Edge transitive Ramanujan graphs and symmetric LDPC good codes. Zbl 1286.94102
Kaufman, Tali; Lubotzky, Alexander
4
2012
Sieve methods in group theory. III: \(\operatorname{Aut}(F_n)\). Zbl 1284.20035
Lubotzky, Alexander; Meiri, Chen
1
2012
Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036
Kantor, W. M.; Lubotzky, A.; Shalev, A.
19
2011
Dynamics and \(\operatorname{Aut}(F_N)\) actions on group presentations and representations. Zbl 1266.20045
Lubotzky, Alexander
12
2011
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
11
2011
Finite simple groups of Lie type as expanders. Zbl 1257.20016
Lubotzky, Alexander
7
2011
Lattices with and lattices without spectral gap. Zbl 1239.22003
Bekka, Bachir; Lubotzky, Alexander
3
2011
Remarks on proficient groups. Zbl 1239.20037
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
1
2011
Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski. Reprint of the 1994 original. Zbl 1183.22001
Lubotzky, Alexander
55
2010
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
17
2010
Linear representations of the automorphism group of a free group. Zbl 1175.20028
Grunewald, Fritz; Lubotzky, Alexander
25
2009
Representation growth of linear groups. Zbl 1142.22006
Larsen, Michael; Lubotzky, Alexander
28
2008
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
22
2008
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
8
2008
Elementary equivalence of profinite groups. Zbl 1200.20023
Jarden, Moshe; Lubotzky, Alexander
5
2008
Dimension expanders. Zbl 1154.15002
Lubotzky, Alexander; Zelmanov, Efim
5
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
21
2007
A Moore bound for simplicial complexes. Zbl 1180.13028
Lubotzky, Alexander; Meshulam, Roy
6
2007
Finite simple groups as expanders. Zbl 1161.20010
Kassabov, Martin; Lubotzky, Alexander; Nikolov, Nikolay
25
2006
Division algebras and noncommensurable isospectral manifolds. Zbl 1123.58020
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
9
2006
On presentations and second cohomology of some finite simple groups. Zbl 1123.20030
Korchagina, Inna; Lubotzky, Alexander
3
2006
Isospectral Cayley graphs of some finite simple groups. Zbl 1110.05044
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
3
2006
Ramanujan complexes of type \(\widetilde A_d\). Zbl 1087.05036
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
34
2005
Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\). Zbl 1135.05038
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
26
2005
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
14
2005
Finite representations of adelic groups, the congruence kernel and cohomology of finite simple groups. Zbl 1188.20046
Lubotzky, Alexander
6
2005
What is …property \((\tau)\)? Zbl 1101.22300
Lubotzky, Alex
4
2005
The finitary Andrews-Curtis conjecture. Zbl 1114.20011
Borovik, Alexandre V.; Lubotzky, Alexander; Myasnikov, Alexei G.
3
2005
Some more non-arithmetic rigid groups. Zbl 1084.22007
Lubotzky, Alexander
1
2005
Polynomial representation growth and the congruence subgroup problem. Zbl 1134.20056
Lubotzky, Alexander; Martin, Benjamin
20
2004
Finite representations in the unitary dual and Ramanujan groups. Zbl 1080.22006
Lubotzky, Alexander; Shalom, Yehuda
17
2004
Subgroup growth of lattices in semisimple Lie groups. Zbl 1145.22004
Lubotzky, Alexander; Nikolov, Nikolay
10
2004
Counting primes, groups, and manifolds. Zbl 1139.11324
Goldfeld, Dorian; Lubotzky, Alexander; Nikolov, Nikolay; Pyber, László
7
2004
Counting congruence subgroups. Zbl 1159.20329
Goldfeld, Dorian; Lubotzky, Alexander; Pyber, László
7
2004
Normal subgroup growth of linear groups: the \((G_2,F_4,E_8)\)-theorem. Zbl 1161.20305
Larsen, Michael; Lubotzky, Alexander
6
2004
The mathematics of Boris Weisfeiler. Zbl 1159.01340
Lubotzky, Alexander
1
2004
Subgroup growth. Zbl 1071.20033
Lubotzky, Alexander; Segal, Dan
118
2003
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
6
2003
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
24
2002
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
12
2002
The expected number of random elements to generate a finite group. Zbl 1042.20047
Lubotzky, Alexander
12
2002
A group theoretical characterisation of S-arithmetic groups in higher rank semi-simple groups. Zbl 1012.22022
Lubotzky, A.; Venkataramana, T. N.
1
2002
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
40
2001
Rank-1 phenomena for mapping class groups. Zbl 1025.20023
Farb, Benson; Lubotzky, Alexander; Minsky, Yair
30
2001
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
25
2001
Pro-finite presentations. Zbl 0985.20017
Lubotzky, Alexander
15
2001
Enumerating boundedly generated finite groups. Zbl 1052.20017
Lubotzky, Alexander
8
2001
Arithmetic structure of fundamental groups and actions of semisimple Lie groups. Zbl 0985.22005
Lubotzky, Alexander; Zimmer, Robert J.
4
2001
The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
50
2000
Nonarithmetic superrigid groups: Counterexamples to Platonov’s conjecture. Zbl 0963.22005
Bass, Hyman; Lubotzky, Alexander
12
2000
Lattices of minimal covolume in \(\text{SL}_2\) over local fields. Zbl 1026.22013
Lubotzky, A.; Weigel, Th.
9
1999
Random normal subgroups of free profinite groups. Zbl 0928.20027
Jarden, Moshe; Lubotzky, Alexander
7
1999
One for almost all: generation of \(\text{SL}(n,p)\) by subsets of \(\text{SL}(n,\mathbb{Z})\). Zbl 0979.20043
Lubotzky, Alexander
5
1999
Not every uniform tree covers Ramanujan graphs. Zbl 1024.05021
Lubotzky, Alexander; Nagnibeda, Tatiana
8
1998
A canonical arithmetic quotient for simple Lie group actions. Zbl 0946.22006
Lubotzky, Alexander; Zimmer, Robert J.
1
1998
Free quotients and the first Betti number of some hyperbolic manifolds. Zbl 0876.22015
Lubotzky, Alexander
27
1996
Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem. Zbl 0885.11037
Lubotzky, Alexander
21
1996
Functional equations and uniformity for local zeta functions of nilpotent groups. Zbl 0864.20020
Du Sautoy, Marcus P. F.; Lubotzky, Alexander
8
1996
Discrete groups of slow subgroup growth. Zbl 0877.20019
Lubotzky, Alexander; Pyber, László; Shalev, Aner
7
1996
Powers in finitely generated groups. Zbl 0871.20038
Hrushovski, E.; Kropholler, P. H.; Lubotzky, A.; Shalev, A.
7
1996
Subgroup growth and congruence subgroups. Zbl 0848.20036
Lubotzky, Alexander
44
1995
Cayley graphs: Eigenvalues, expanders and random walks. Zbl 0835.05033
Lubotzky, Alexander
36
1995
Counting finite index subgroups. Zbl 0862.20020
Lubotzky, Alexander
16
1995
Subgroup growth. Zbl 0857.20013
Lubotzky, Alexander
7
1995
Tree-lattices and lattices in Lie groups. Zbl 0840.22019
Lubotzky, Alexander
3
1995
Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski. Zbl 0826.22012
Lubotzky, Alexander
177
1994
...and 44 more Documents
all top 5

Cited by 1,862 Authors

78 Lubotzky, Alexander
43 Shalev, Aner
28 Lucchini, Andrea
21 Guralnick, Robert Michael
21 Liebeck, Martin Walter
21 Shumyatsky, Pavel
20 Kassabov, Martin
18 Pyber, László
16 Jaikin-Zapirain, Andrei
15 Klopsch, Benjamin
14 Alon, Noga M.
13 Gelander, Tsachik
13 Kantor, William M.
13 Segal, Daniel
13 Zalesskii, Pavel
12 Bourgain, Jean
12 Khukhro, Evgenii I.
12 Mann, Avinoam
11 Gamburd, Alexander
11 Larsen, Michael Jeffrey
11 Rapinchuk, Andrei S.
10 Abért, Miklós
10 Avni, Nir
10 Linial, Nathan
10 Magid, Andy Roy
10 Reid, Alan W.
9 Barnea, Yiftach
9 Bekka, Mohammed el Bachir
9 Belolipetsky, Mikhail V.
9 Bridson, Martin R.
9 Capdeboscq, Inna
9 Ershov, Mikhail V.
9 Grunewald, Fritz J.
9 Lackenby, Marc
9 Leuzinger, Enrico
9 Long, Darren D.
9 Moravec, Primož
9 Nikolov, Nikolay Valeriev
9 Porti, Joan
9 Voll, Christopher
8 Acciarri, Cristina
8 Azarov, Dmitriĭ Nikolaevich
8 Bou-Rabee, Khalid
8 Glasner, Yair
8 Haran, Dan
8 Koberda, Thomas
8 Margalit, Dan
8 Mason, Alexander W.
8 Meiri, Chen
8 Mohar, Bojan
8 Mozes, Shahar
8 Müller, Thomas W.
8 Sarnak, Peter Clive
8 Sikora, Adam S.
8 Tran, Anh Tuan
8 Valette, Alain
7 Babai, László
7 Caprace, Pierre-Emmanuel
7 Carbone, Lisa J.
7 Detomi, Eloisa
7 Goldman, William M.
7 González-Meneses, Juan
7 Grigorchuk, Rostislav Ivanovich
7 Heusener, Michael
7 Jarden, Moshe
7 Ku, Cheng Yeaw
7 Kunyavskiĭ, Boris Èmmanuilovich
7 O’Brien, Eamonn A.
7 Ozawa, Narutaka
7 Pak, Igor
7 Parzanchevski, Ori
7 Salehi Golsefidy, Alireza
7 Schlage-Puchta, Jan-Christoph
7 Shalom, Yehuda
7 Shusterman, Mark
7 Snopce, Ilir
7 Terras, Audrey Anne
7 Thomas, Anne
7 Traustason, Gunnar
7 Vdovina, Alina A.
7 Wong, Kok Bin
6 Bestvina, Mladen
6 Breuillard, Emmanuel
6 Cioabă, Sebastian M.
6 de Cornulier, Yves
6 González-Sánchez, Jon
6 Gorodnik, Alexander
6 Kapovich, Michael
6 Kaufman, Tali
6 Kochloukova, Dessislava Hristova
6 Leedham-Green, Charles R.
6 Lim, Seonhee
6 Linowitz, Benjamin
6 McReynolds, David Ben
6 Minsky, Yair N.
6 Nevo, Amos
6 Onn, Uri
6 Rémy, Bertrand
6 Riley, David Michael
6 Thom, Andreas Berthold
...and 1,762 more Authors
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Cited in 271 Serials

166 Journal of Algebra
123 Israel Journal of Mathematics
66 Transactions of the American Mathematical Society
61 Proceedings of the American Mathematical Society
52 Advances in Mathematics
43 Duke Mathematical Journal
43 Geometriae Dedicata
40 Inventiones Mathematicae
35 Journal of Group Theory
34 Geometry & Topology
33 International Journal of Algebra and Computation
30 Journal of Pure and Applied Algebra
29 Communications in Algebra
28 Algebraic & Geometric Topology
27 Mathematische Zeitschrift
26 Groups, Geometry, and Dynamics
24 Geometric and Functional Analysis. GAFA
23 Discrete Mathematics
23 Combinatorica
23 Linear Algebra and its Applications
21 Mathematical Proceedings of the Cambridge Philosophical Society
21 Mathematische Annalen
21 Bulletin of the American Mathematical Society. New Series
20 Journal of Combinatorial Theory. Series B
20 European Journal of Combinatorics
19 Journal of the American Mathematical Society
19 Annals of Mathematics. Second Series
18 Journal of Functional Analysis
17 Journal of the European Mathematical Society (JEMS)
16 Archiv der Mathematik
16 Siberian Mathematical Journal
16 Ergodic Theory and Dynamical Systems
15 Annales de l’Institut Fourier
15 Theoretical Computer Science
14 Monatshefte für Mathematik
13 Discrete Applied Mathematics
13 Random Structures & Algorithms
12 Compositio Mathematica
12 Journal für die Reine und Angewandte Mathematik
12 Topology and its Applications
12 Discrete & Computational Geometry
11 The Annals of Probability
11 Journal of Mathematical Sciences (New York)
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Publications Mathématiques
10 Journal of Number Theory
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Experimental Mathematics
10 Combinatorics, Probability and Computing
9 Communications in Mathematical Physics
9 Proceedings of the Steklov Institute of Mathematics
8 Journal of Graph Theory
8 Graphs and Combinatorics
8 Finite Fields and their Applications
8 Journal of Topology and Analysis
8 Forum of Mathematics, Sigma
7 Bulletin of the Australian Mathematical Society
7 Information Processing Letters
7 Journal of Mathematical Physics
7 Glasgow Mathematical Journal
7 The Journal of Symbolic Logic
7 Journal of Knot Theory and its Ramifications
7 Journal of Algebraic Combinatorics
7 Transformation Groups
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Bulletin of the London Mathematical Society
6 Journal of Combinatorial Theory. Series A
6 Journal of Computer and System Sciences
6 Manuscripta Mathematica
6 Michigan Mathematical Journal
6 Pacific Journal of Mathematics
6 SIAM Journal on Computing
6 Information and Computation
6 Designs, Codes and Cryptography
6 Computational Complexity
6 Journal of the Australian Mathematical Society
5 Journal d’Analyse Mathématique
5 Linear and Multilinear Algebra
5 Mathematics of Computation
5 Algebra and Logic
5 Illinois Journal of Mathematics
5 Journal of Computational and Applied Mathematics
5 Memoirs of the American Mathematical Society
5 Proceedings of the London Mathematical Society. Third Series
5 Journal of Complexity
5 Algorithmica
5 Journal of Algebra and its Applications
5 Groups, Complexity, Cryptology
5 International Journal of Group Theory
4 Mathematical Notes
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Commentarii Mathematici Helvetici
4 Journal of the London Mathematical Society. Second Series
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 SIAM Journal on Discrete Mathematics
4 Journal de Théorie des Nombres de Bordeaux
4 The Electronic Journal of Combinatorics
4 Journal of High Energy Physics
4 International Journal of Number Theory
4 Journal of Topology
...and 171 more Serials
all top 5

Cited in 54 Fields

1,083 Group theory and generalizations (20-XX)
437 Combinatorics (05-XX)
288 Topological groups, Lie groups (22-XX)
279 Number theory (11-XX)
267 Manifolds and cell complexes (57-XX)
137 Computer science (68-XX)
119 Algebraic geometry (14-XX)
100 Dynamical systems and ergodic theory (37-XX)
89 Probability theory and stochastic processes (60-XX)
68 Functional analysis (46-XX)
63 Differential geometry (53-XX)
48 Nonassociative rings and algebras (17-XX)
48 Global analysis, analysis on manifolds (58-XX)
46 Functions of a complex variable (30-XX)
44 Information and communication theory, circuits (94-XX)
42 Field theory and polynomials (12-XX)
41 Associative rings and algebras (16-XX)
40 Abstract harmonic analysis (43-XX)
39 Mathematical logic and foundations (03-XX)
39 Geometry (51-XX)
34 Algebraic topology (55-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Several complex variables and analytic spaces (32-XX)
26 Quantum theory (81-XX)
25 \(K\)-theory (19-XX)
21 Measure and integration (28-XX)
19 Convex and discrete geometry (52-XX)
17 Operator theory (47-XX)
16 Operations research, mathematical programming (90-XX)
13 Numerical analysis (65-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Commutative algebra (13-XX)
11 General topology (54-XX)
10 Ordinary differential equations (34-XX)
9 Partial differential equations (35-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 General and overarching topics; collections (00-XX)
7 Statistics (62-XX)
6 Potential theory (31-XX)
6 Approximations and expansions (41-XX)
5 Relativity and gravitational theory (83-XX)
4 History and biography (01-XX)
4 Category theory; homological algebra (18-XX)
4 Special functions (33-XX)
4 Biology and other natural sciences (92-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Mechanics of particles and systems (70-XX)

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