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Lubotzky, Alexander

Author ID: lubotzky.alexander Recent zbMATH articles by "Lubotzky, Alexander"
Published as: Lubotzky, Alexander; Lubotzky, A.; Lubotzky, Alex
External Links: MGP · Wikidata · GND · IdRef
Videos: carmin.tv
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Co-Authors

40 single-authored
8 Kantor, William M.
8 Larsen, Michael Jeffrey
8 Mozes, Shahar
7 Magid, Andy Roy
7 Shalev, Aner
6 Bass, Hyman
5 Kassabov, Martin D.
5 Mann, Avinoam
5 Meiri, Chen
5 Samuels, Beth
5 Vishne, Uzi
5 Zimmer, Robert J.
4 Becker, Oren
4 Belolipetsky, Mikhail V.
4 Dinur, Irit
4 Evra, Shai
4 Guralnick, Robert Michael
4 Jarden, Moshe
4 Kaufman, Tali
4 Pyber, László
4 Reid, Alan W.
3 Meshulam, Roy
3 Nikolov, Nikolay Valeriev
3 Phillips, Ralph Saul
3 Sarnak, Peter Clive
2 Ben-Ezra, David El-Chai
2 Breuillard, Emmanuel
2 Capdeboscq, Inna
2 Dikstein, Yotam
2 Gelander, Tsachik
2 Glebsky, Lev Yu.
2 Goldfeld, Dorian Morris
2 Grunewald, Fritz J.
2 Haran, Dan
2 Kazhdan, David
2 Kontorovich, Alex V.
2 Levit, Arie
2 Livné, Ron A.
2 Long, D. Darren
2 Luria, Zur
2 Marion, Claude
2 Mosheiff, Jonathan
2 Parzanchevski, Ori
2 Raghunathan, Madabusi Santanam
2 Rogawski, Jonathan D.
2 Rosenthal, Ron
2 Segal, Daniel
2 Thom, Andreas Berthold
2 Tiep Pham Huu
2 Venkataramana, Tyakal Nanjundiah
2 Weinberger, Shmuel
1 Abért, Miklós
1 Aravinda, C. S.
1 Avni, Nir
1 Babai, László
1 Bader, Uri
1 Bekka, Mohammed el Bachir
1 Birman, Joan S.
1 Bleher, Frauke M.
1 Böge, Sigrid
1 Borovik, Alexandre V.
1 Bowen, Lewis Phylip
1 Burger, Marc
1 Cappell, Sylvain E.
1 Cheetham-West, Tamunonye
1 Chinburg, Ted
1 Conder, Marston Donald Edward
1 De Chiffre, Marcus
1 de Cornulier, Yves
1 du Sautoy, Marcus
1 Farb, Benson
1 Fisher, David Michael
1 Garion, Shelly
1 Goldman, William M.
1 Golubev, Konstantin
1 Gongopadhyay, Krishnendu
1 Grigorchuk, Rostislav Ivanovich
1 Guth, Lawrence David
1 Hrushovski, Ehud
1 Jaikin-Zapirain, Andrei
1 Kowalski, Emmanuel
1 Kozma, Gady
1 Kropholler, Peter H.
1 Long, Darren D.
1 Lubetzky, Eyal
1 Maher, Joseph
1 Malestein, Justin
1 Manning, Jason Fox
1 Margulis, Grigoriĭ Aleksandrovich
1 Martin, Benjamin M. S.
1 McCarthy, John D.
1 Minsky, Yair N.
1 Mj, Mahan
1 Monod, Nicolas
1 Myasnikov, Alexei G.
1 Neftin, Danny
1 Oppenheim, Izhar
1 Pak, Igor
1 Rangarajan, Bharatram
1 Rémy, Bertrand
...and 16 more Co-Authors
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Serials

16 Journal of Algebra
13 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 Journal of Group Theory
3 Progress in Mathematics
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Acta Mathematica
2 Commentarii Mathematici Helvetici
2 Proceedings of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Transactions of the American Mathematical Society
2 International Journal of Algebra and Computation
2 Proceedings of the National Academy of Sciences of the United States of America
2 Transformation Groups
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 Michigan Mathematical Journal
1 Publicationes Mathematicae Debrecen
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Topology
1 Ergodic Theory and Dynamical Systems
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 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Modern Birkhäuser Classics

Publications by Year

Citations contained in zbMATH Open

162 Publications have been cited 4,054 times in 2,700 Documents Cited by Year
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
533
1988
Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski. Zbl 0826.22012
Lubotzky, Alexander
223
1994
Subgroup growth. Zbl 1071.20033
Lubotzky, Alexander; Segal, Dan
173
2003
Varieties of representations of finitely generated groups. Zbl 0598.14042
Lubotzky, Alexander; Magid, Andy R.
164
1985
Powerful \(p\)-groups. I: Finite groups. Zbl 0626.20010
Lubotzky, Alexander; Mann, Avinoam
137
1987
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
106
1983
The probability of generating a finite classical group. Zbl 0718.20011
Kantor, William M.; Lubotzky, Alexander
98
1990
Expander graphs in pure and applied mathematics. Zbl 1232.05194
Lubotzky, Alexander
89
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
77
2010
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
63
1986
The word and Riemannian metrics on lattices of semisimple groups. Zbl 0988.22007
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
62
2000
Ramanujan complexes of type \(\widetilde A_d\). Zbl 1087.05036
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
59
2005
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
54
2001
Groups and expanders. Zbl 0787.05049
Lubotzky, A.; Weiss, B.
52
1993
Cayley graphs: Eigenvalues, expanders and random walks. Zbl 0835.05033
Lubotzky, Alexander
51
1995
Subgroup growth and congruence subgroups. Zbl 0848.20036
Lubotzky, Alexander
50
1995
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
50
1987
Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\). Zbl 1135.05038
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
49
2005
Lattices in rank one Lie groups over local fields. Zbl 0786.22017
Lubotzky, Alexander
43
1991
Powerful \(p\)-groups. II: \(p\)-adic analytic groups. Zbl 0626.20022
Lubotzky, Alexander; Mann, Avinoam
43
1987
Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\). Zbl 0541.20020
Lubotzky, Alexander
36
1983
Free quotients and the first Betti number of some hyperbolic manifolds. Zbl 0876.22015
Lubotzky, Alexander
35
1996
Rank-1 phenomena for mapping class groups. Zbl 1025.20023
Farb, Benson; Lubotzky, Alexander; Minsky, Yair
35
2001
Combinatorial group theory for pro-p groups. Zbl 0489.20024
Lubotzky, Alexander
35
1982
Small-diameter Cayley graphs for finite simple groups. Zbl 0702.05042
Babai, L.; Kantor, W. M.; Lubotzky, A.
34
1989
Finitely generated groups of polynomial subgroup growth. Zbl 0811.20027
Lubotzky, Alexander; Mann, Avinoam; Segal, Dan
33
1993
Representation growth of linear groups. Zbl 1142.22006
Larsen, Michael; Lubotzky, Alexander
33
2008
On some \(\Lambda\)-analytic pro-\(p\) groups. Zbl 0819.20030
Lubotzky, Alexander; Shalev, Aner
32
1994
Normal automorphisms of free groups. Zbl 0432.20025
Lubotzky, Alexander
32
1980
Linear representations of the automorphism group of a free group. Zbl 1175.20028
Grunewald, Fritz; Lubotzky, Alexander
32
2009
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
32
2001
Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036
Kantor, W. M.; Lubotzky, A.; Shalev, A.
32
2011
High dimensional expanders. Zbl 1448.05125
Lubotzky, Alexander
31
2018
Subgroups of free profinite groups and large subfields of Q. Zbl 0485.20021
Lubotzky, Alexander; van den Dries, Lou
31
1981
Arithmetic quotients of the mapping class group. Zbl 1334.57017
Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin
30
2015
Isoperimetric inequalities for Ramanujan complexes and topological expanders. Zbl 1339.05075
Kaufman, Tali; Kazhdan, David; Lubotzky, Alexander
30
2016
On groups of polynomial subgroup growth. Zbl 0743.20040
Lubotzky, Alexander; Mann, Avinoam
29
1991
Stability, cohomology vanishing, and nonapproximable groups. Zbl 1456.22002
De Chiffre, Marcus; Glebsky, Lev; Lubotzky, Alexander; Thom, Andreas
29
2020
Ramanujan complexes and high dimensional expanders. Zbl 1302.05095
Lubotzky, Alexander
28
2014
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
28
2002
Pro-finite presentations. Zbl 0985.20017
Lubotzky, Alexander
27
2001
Stability and invariant random subgroups. Zbl 1516.20007
Becker, Oren; Lubotzky, Alexander; Thom, Andreas
27
2019
Finite simple groups as expanders. Zbl 1161.20010
Kassabov, Martin; Lubotzky, Alexander; Nikolov, Nikolay
26
2006
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
25
2007
Polynomial representation growth and the congruence subgroup problem. Zbl 1134.20056
Lubotzky, Alexander; Martin, Benjamin
24
2004
A group theoretic characterization of linear groups. Zbl 0647.20045
Lubotzky, Alexander
24
1988
Automorphisms of groups and of schemes of finite type. Zbl 0517.14015
Bass, Hyman; Lubotzky, Alexander
24
1983
Residually finite groups of finite rank. Zbl 0696.20031
Lubotzky, Alexander; Mann, Avinoam
24
1989
Free quotients and the congruence kernel of \(SL_ 2\). Zbl 0495.20021
Lubotzky, Alexander
23
1982
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
23
2008
Eigenvalues of the Laplacian, the first Betti number and the congruence subgroup problem. Zbl 0885.11037
Lubotzky, Alexander
22
1996
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
22
2010
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
22
2005
Variants of Kazhdan’s property for subgroups of semisimple groups. Zbl 0706.22010
Lubotzky, Alexander; Zimmer, Robert J.
21
1989
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
21
2002
The expected number of random elements to generate a finite group. Zbl 1042.20047
Lubotzky, Alexander
21
2002
Finite representations in the unitary dual and Ramanujan groups. Zbl 1080.22006
Lubotzky, Alexander; Shalom, Yehuda
20
2004
Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds. Zbl 1298.81052
Guth, Larry; Lubotzky, Alexander
19
2014
Cyclic subgroups of exponential growth and metrics on discrete groups. Zbl 0786.22016
Lubotzky, Alexander; Mozes, Shahar; Raghunathan, M. S.
18
1993
High dimensional expanders and property testing. Zbl 1365.68462
Kaufman, Tali; Lubotzky, Alexander
18
2014
Linear-central filtrations on groups. Zbl 0817.20038
Bass, Hyman; Lubotzky, Alexander
17
1994
Nonarithmetic superrigid groups: Counterexamples to Platonov’s conjecture. Zbl 0963.22005
Bass, Hyman; Lubotzky, Alexander
17
2000
Counting finite index subgroups. Zbl 0862.20020
Lubotzky, Alexander
16
1995
Images of word maps in finite simple groups. Zbl 1318.20014
Lubotzky, Alexander
16
2014
Invariable generation of infinite groups. Zbl 1318.20032
Kantor, William M.; Lubotzky, Alexander; Shalev, Aner
16
2015
Cohomology of unipotent and prounipotent groups. Zbl 0473.20031
Lubotzky, Alexander; Magid, Andy R.
16
1982
Mixing properties and the chromatic number of Ramanujan complexes. Zbl 1328.05208
Evra, Shai; Golubev, Konstantin; Lubotzky, Alexander
15
2015
Dynamics and \(\operatorname{Aut}(F_N)\) actions on group presentations and representations. Zbl 1266.20045
Lubotzky, Alexander
15
2011
Group stability and property (T). Zbl 1516.20100
Becker, Oren; Lubotzky, Alexander
15
2020
Functional equations and uniformity for local zeta functions of nilpotent groups. Zbl 0864.20020
Du Sautoy, Marcus P. F.; Lubotzky, Alexander
14
1996
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
14
2011
Beauville surfaces and finite simple groups. Zbl 1255.20008
Garion, Shelly; Larsen, Michael; Lubotzky, Alexander
14
2012
Superrigidity for the commensurability group of tree lattices. Zbl 0839.22011
Lubotzky, A.; Mozes, S.; Zimmer, R. J.
13
1994
Expansion of building-like complexes. Zbl 1405.55019
Lubotzky, Alexander; Meshulam, Roy; Mozes, Shahar
13
2016
Random Latin squares and 2-dimensional expanders. Zbl 1306.05020
Lubotzky, Alexander; Meshulam, Roy
13
2015
Dimension expanders. Zbl 1154.15002
Lubotzky, Alexander; Zelmanov, Efim
13
2008
Subgroup growth of lattices in semisimple Lie groups. Zbl 1145.22004
Lubotzky, Alexander; Nikolov, Nikolay
12
2004
Lattices of minimal covolume in \(\mathrm{SL}_ 2\): a nonarchimedean analogue of Siegel’s theorem \(\mu\geq \pi /21\). Zbl 0731.22009
Lubotzky, Alexander
12
1990
Enumerating boundedly generated finite groups. Zbl 1052.20017
Lubotzky, Alexander
12
2001
On finite index subgroups of linear groups. Zbl 0597.20043
Lubotzky, Alexander
12
1987
Trees and discrete subgroups of Lie groups over local fields. Zbl 0676.22007
Lubotzky, Alexander
11
1989
Division algebras and noncommensurable isospectral manifolds. Zbl 1123.58020
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
11
2006
Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
11
2014
Sieve methods in group theory. I: Powers in linear groups. Zbl 1283.20075
Lubotzky, Alexander; Meiri, Chen
11
2012
Embedding covers and the theory of Frobenius fields. Zbl 0502.20013
Haran, Dan; Lubotzky, Alexander
11
1982
Discrete groups of slow subgroup growth. Zbl 0877.20019
Lubotzky, Alexander; Pyber, László; Shalev, Aner
10
1996
Counting congruence subgroups. Zbl 1159.20329
Goldfeld, Dorian; Lubotzky, Alexander; Pyber, László
10
2004
Random methods in 3-manifold theory. Zbl 1354.57026
Lubotzky, Alexander; Maher, Joseph; Wu, Conan
10
2016
Not every uniform tree covers Ramanujan graphs. Zbl 1024.05021
Lubotzky, Alexander; Nagnibeda, Tatiana
10
1998
First order rigidity of non-uniform higher rank arithmetic groups. Zbl 1454.20001
Avni, Nir; Lubotzky, Alexander; Meiri, Chen
10
2019
A Moore bound for simplicial complexes. Zbl 1180.13028
Lubotzky, Alexander; Meshulam, Roy
10
2007
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
10
2008
Powers in finitely generated groups. Zbl 0871.20038
Hrushovski, E.; Kropholler, P. H.; Lubotzky, A.; Shalev, A.
9
1996
Edge transitive Ramanujan graphs and symmetric LDPC good codes. Zbl 1286.94102
Kaufman, Tali; Lubotzky, Alexander
9
2012
Free prounipotent groups. Zbl 0503.20008
Lubotzky, Alexander; Magid, Andy R.
9
1983
Finite simple groups of Lie type as expanders. Zbl 1257.20016
Lubotzky, Alexander
9
2011
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
9
2003
Dimension function for discrete groups. Zbl 0605.20029
Lubotzky, Alexander
9
1986
Lattices of minimal covolume in \(\text{SL}_2\) over local fields. Zbl 1026.22013
Lubotzky, A.; Weigel, Th.
9
1999
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
9
2019
Sylow-conjugate number fields. Zbl 1546.11167
Lubotzky, Alexander; Neftin, Danny
1
2023
Locally testable codes with constant rate, distance, and locality. Zbl 07774345
Dinur, Irit; Evra, Shai; Livne, Ron; Lubotzky, Alexander; Mozes, Shahar
7
2022
Uncountably many permutation stable groups. Zbl 1512.20102
Levit, Arie; Lubotzky, Alexander
5
2022
Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups. Zbl 07543353
Levit, Arie; Lubotzky, Alexander
4
2022
Expansion in simple groups. Zbl 1516.22006
Breuillard, Emmanuel; Lubotzky, Alexander
2
2022
Constructing highly regular expanders from hyperbolic Coxeter groups. Zbl 1514.20138
Conder, Marston; Lubotzky, Alexander; Schillewaert, Jeroen; Thilmany, François
1
2022
On the asymptotic number of generators of high rank arithmetic lattices. Zbl 1521.22008
Lubotzky, Alexander; Slutsky, Raz
1
2022
Stability, cohomology vanishing, and nonapproximable groups. Zbl 1456.22002
De Chiffre, Marcus; Glebsky, Lev; Lubotzky, Alexander; Thom, Andreas
29
2020
Group stability and property (T). Zbl 1516.20100
Becker, Oren; Lubotzky, Alexander
15
2020
Non \(p\)-norm approximated groups. Zbl 1500.22008
Lubotzky, Alexander; Oppenheim, Izhar
9
2020
Random walks on Ramanujan complexes and digraphs. Zbl 1454.05114
Lubetzky, E.; Lubotzky, A.; Parzanchevski, O.
9
2020
From Ramanujan graphs to Ramanujan complexes. Zbl 1462.05235
Lubotzky, Alexander; Parzanchevski, Ori
3
2020
Group actions in ergodic theory, geometry, and topology. Selected papers. Edited by David Fisher. With a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis. Zbl 1435.22001
Zimmer, Robert J.
1
2020
Stability and invariant random subgroups. Zbl 1516.20007
Becker, Oren; Lubotzky, Alexander; Thom, Andreas
27
2019
First order rigidity of non-uniform higher rank arithmetic groups. Zbl 1454.20001
Avni, Nir; Lubotzky, Alexander; Meiri, Chen
10
2019
What is \(\dots\) a thin group? Zbl 1423.20060
Kontorovich, Alex; Long, D. Darren; Lubotzky, Alexander; Reid, Alan W.
9
2019
Random Steiner systems and bounded degree coboundary expanders of every dimension. Zbl 1426.05183
Lubotzky, Alexander; Luria, Zur; Rosenthal, Ron
8
2019
Generalized triangle groups, expanders, and a problem of Agol and Wise. Zbl 1468.20083
Lubotzky, Alexander; Manning, Jason Fox; Wilton, Henry
4
2019
Counting non-uniform lattices. Zbl 1425.22009
Belolipetsky, Mikhail; Lubotzky, Alexander
2
2019
The congruence topology, Grothendieck duality and thin groups. Zbl 1448.11080
Lubotzky, Alexander; Venkataramana, Tyakal Nanjundiah
2
2019
Linear representations of random groups. Zbl 1469.20014
Kozma, Gady; Lubotzky, Alexander
2
2019
High dimensional expanders. Zbl 1448.05125
Lubotzky, Alexander
31
2018
The congruence subgroup problem for low rank free and free metabelian groups. Zbl 1386.20027
Ben-Ezra, David El-Chai; Lubotzky, Alexander
4
2018
A trichotomy theorem for transformation groups of locally symmetric manifolds and topological rigidity. Zbl 1403.22012
Cappell, Sylvain; Lubotzky, Alexander; Weinberger, Shmuel
1
2018
On groups and simplicial complexes. Zbl 1384.05187
Lubotzky, Alexander; Luria, Zur; Rosenthal, Ron
1
2018
Good cyclic codes and the uncertainty principle. Zbl 1436.94116
Evra, Shai; Kowalski, Emmanuel; Lubotzky, Alexander
4
2017
Isoperimetric inequalities for Ramanujan complexes and topological expanders. Zbl 1339.05075
Kaufman, Tali; Kazhdan, David; Lubotzky, Alexander
30
2016
Expansion of building-like complexes. Zbl 1405.55019
Lubotzky, Alexander; Meshulam, Roy; Mozes, Shahar
13
2016
Random methods in 3-manifold theory. Zbl 1354.57026
Lubotzky, Alexander; Maher, Joseph; Wu, Conan
10
2016
Presentations: from Kac-Moody groups to profinite and back. Zbl 1472.20117
Capdeboscq, I.; Lubotzky, A.; Rémy, B.
2
2016
Sliceable groups and towers of fields. Zbl 1368.20023
Böge, Sigrid; Jarden, Moshe; Lubotzky, Alexander
1
2016
Arithmetic quotients of the mapping class group. Zbl 1334.57017
Grunewald, Fritz; Larsen, Michael; Lubotzky, Alexander; Malestein, Justin
30
2015
Invariable generation of infinite groups. Zbl 1318.20032
Kantor, William M.; Lubotzky, Alexander; Shalev, Aner
16
2015
Mixing properties and the chromatic number of Ramanujan complexes. Zbl 1328.05208
Evra, Shai; Golubev, Konstantin; Lubotzky, Alexander
15
2015
Random Latin squares and 2-dimensional expanders. Zbl 1306.05020
Lubotzky, Alexander; Meshulam, Roy
13
2015
Geometry, groups and dynamics. ICTS program: groups, geometry and dynamics, Almora, India, December 3–16, 2012. Zbl 1318.30003
2
2015
Ramanujan complexes and high dimensional expanders. Zbl 1302.05095
Lubotzky, Alexander
28
2014
Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds. Zbl 1298.81052
Guth, Larry; Lubotzky, Alexander
19
2014
High dimensional expanders and property testing. Zbl 1365.68462
Kaufman, Tali; Lubotzky, Alexander
18
2014
Images of word maps in finite simple groups. Zbl 1318.20014
Lubotzky, Alexander
16
2014
Deformation theory and finite simple quotients of triangle groups. I. Zbl 1312.20030
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
11
2014
Deformation theory and finite simple quotients of triangle groups. II. Zbl 1312.20031
Larsen, Michael; Lubotzky, Alexander; Marion, Claude
7
2014
Finiteness properties and profinite completions. Zbl 1295.20029
Lubotzky, Alexander
5
2014
The Galois group of random elements of linear groups. Zbl 1304.11125
Lubotzky, Alexander; Rosenzweig, Lior
4
2014
On conjugacy growth of linear groups. Zbl 1278.20064
Breuillard, Emmanuel; Cornulier, Yves; Lubotzky, Alexander; Meiri, Chen
8
2013
Representation varieties of Fuchsian groups. Zbl 1272.20054
Larsen, Michael; Lubotzky, Alexander
7
2013
Expander graphs in pure and applied mathematics. Zbl 1232.05194
Lubotzky, Alexander
89
2012
Beauville surfaces and finite simple groups. Zbl 1255.20008
Garion, Shelly; Larsen, Michael; Lubotzky, Alexander
14
2012
Sieve methods in group theory. I: Powers in linear groups. Zbl 1283.20075
Lubotzky, Alexander; Meiri, Chen
11
2012
Edge transitive Ramanujan graphs and symmetric LDPC good codes. Zbl 1286.94102
Kaufman, Tali; Lubotzky, Alexander
9
2012
Manifolds counting and class field towers. Zbl 1241.22014
Belolipetsky, Mikhail; Lubotzky, Alexander
8
2012
Sieve methods in group theory. II: The mapping class group. Zbl 1284.57017
Lubotzky, Alexander; Meiri, Chen
7
2012
Sieve methods in group theory. III: \(\operatorname{Aut}(F_n)\). Zbl 1284.20035
Lubotzky, Alexander; Meiri, Chen
3
2012
Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036
Kantor, W. M.; Lubotzky, A.; Shalev, A.
32
2011
Dynamics and \(\operatorname{Aut}(F_N)\) actions on group presentations and representations. Zbl 1266.20045
Lubotzky, Alexander
15
2011
Presentations of finite simple groups: a computational approach. Zbl 1256.20008
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
14
2011
Finite simple groups of Lie type as expanders. Zbl 1257.20016
Lubotzky, Alexander
9
2011
Lattices with and lattices without spectral gap. Zbl 1239.22003
Bekka, Bachir; Lubotzky, Alexander
5
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
77
2010
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
22
2010
Linear representations of the automorphism group of a free group. Zbl 1175.20028
Grunewald, Fritz; Lubotzky, Alexander
32
2009
On non-uniform Ramanujan complexes. Zbl 1279.11053
Samuels, Beth
3
2009
Representation growth of linear groups. Zbl 1142.22006
Larsen, Michael; Lubotzky, Alexander
33
2008
Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024
Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A.
23
2008
Dimension expanders. Zbl 1154.15002
Lubotzky, Alexander; Zelmanov, Efim
13
2008
Heegaard genus and property \({\tau}\) for hyperbolic 3-manifolds. Zbl 1158.57018
Long, D. D.; Lubotzky, A.; Reid, A. W.
10
2008
Elementary equivalence of profinite groups. Zbl 1200.20023
Jarden, Moshe; Lubotzky, Alexander
9
2008
Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024
Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander
25
2007
A Moore bound for simplicial complexes. Zbl 1180.13028
Lubotzky, Alexander; Meshulam, Roy
10
2007
Finite simple groups as expanders. Zbl 1161.20010
Kassabov, Martin; Lubotzky, Alexander; Nikolov, Nikolay
26
2006
Division algebras and noncommensurable isospectral manifolds. Zbl 1123.58020
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
11
2006
Isospectral Cayley graphs of some finite simple groups. Zbl 1110.05044
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
8
2006
On presentations and second cohomology of some finite simple groups. Zbl 1123.20030
Korchagina, Inna; Lubotzky, Alexander
3
2006
Ramanujan complexes of type \(\widetilde A_d\). Zbl 1087.05036
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
59
2005
Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\). Zbl 1135.05038
Lubotzky, Alexander; Samuels, Beth; Vishne, Uzi
49
2005
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
22
2005
Finite representations of adelic groups, the congruence kernel and cohomology of finite simple groups. Zbl 1188.20046
Lubotzky, Alexander
7
2005
What is …property \((\tau)\)? Zbl 1101.22300
Lubotzky, Alex
5
2005
Some more non-arithmetic rigid groups. Zbl 1084.22007
Lubotzky, Alexander
5
2005
The finitary Andrews-Curtis conjecture. Zbl 1114.20011
Borovik, Alexandre V.; Lubotzky, Alexander; Myasnikov, Alexei G.
3
2005
Polynomial representation growth and the congruence subgroup problem. Zbl 1134.20056
Lubotzky, Alexander; Martin, Benjamin
24
2004
Finite representations in the unitary dual and Ramanujan groups. Zbl 1080.22006
Lubotzky, Alexander; Shalom, Yehuda
20
2004
Subgroup growth of lattices in semisimple Lie groups. Zbl 1145.22004
Lubotzky, Alexander; Nikolov, Nikolay
12
2004
Counting congruence subgroups. Zbl 1159.20329
Goldfeld, Dorian; Lubotzky, Alexander; Pyber, László
10
2004
Normal subgroup growth of linear groups: the \((G_2,F_4,E_8)\)-theorem. Zbl 1161.20305
Larsen, Michael; Lubotzky, Alexander
8
2004
Counting primes, groups, and manifolds. Zbl 1139.11324
Goldfeld, Dorian; Lubotzky, Alexander; Nikolov, Nikolay; Pyber, László
7
2004
The mathematics of Boris Weisfeiler. Zbl 1159.01340
Lubotzky, Alexander
1
2004
Subgroup growth. Zbl 1071.20033
Lubotzky, Alexander; Segal, Dan
173
2003
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
9
2003
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
28
2002
The proalgebraic completion of rigid groups. Zbl 1059.20036
Bass, Hyman; Lubotzky, Alexander; Magid, Andy R.; Mozes, Shahar
21
2002
The expected number of random elements to generate a finite group. Zbl 1042.20047
Lubotzky, Alexander
21
2002
A group theoretical characterisation of S-arithmetic groups in higher rank semi-simple groups. Zbl 1012.22022
Lubotzky, A.; Venkataramana, T. N.
2
2002
Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits. Zbl 1053.20026
Bass, Hyman; Lubotzky, Alexander
54
2001
Rank-1 phenomena for mapping class groups. Zbl 1025.20023
Farb, Benson; Lubotzky, Alexander; Minsky, Yair
35
2001
The product replacement algorithm and Kazhdan’s property (T). Zbl 0980.20078
Lubotzky, Alexander; Pak, Igor
32
2001
Pro-finite presentations. Zbl 0985.20017
Lubotzky, Alexander
27
2001
Enumerating boundedly generated finite groups. Zbl 1052.20017
Lubotzky, Alexander
12
2001
Arithmetic structure of fundamental groups and actions of semisimple Lie groups. Zbl 0985.22005
Lubotzky, Alexander; Zimmer, Robert J.
5
2001
...and 62 more Documents
all top 5

Cited by 2,605 Authors

89 Lubotzky, Alexander
50 Shalev, Aner
33 Lucchini, Andrea
27 Guralnick, Robert Michael
25 Shumyatsky, Pavel
23 Liebeck, Martin Walter
20 Kassabov, Martin D.
19 Klopsch, Benjamin
19 Pyber, László
18 Alon, Noga
18 Jaikin-Zapirain, Andrei
18 Kaufman, Tali
18 Larsen, Michael Jeffrey
18 Zalesskii, Pavel
16 Bridson, Martin R.
16 Gelander, Tsachik
14 Linial, Nathan
14 Wigderson, Avi
13 Gamburd, Alexander
13 Kantor, William M.
13 Khukhro, Evgeniĭ I.
13 Mann, Avinoam
13 Segal, Daniel
12 Abért, Miklós
12 Belolipetsky, Mikhail V.
12 Bou-Rabee, Khalid
12 Bourgain, Jean
12 Rapinchuk, Andrei S.
11 Avni, Nir
11 Koberda, Thomas
11 Magid, Andy Roy
11 Reid, Alan W.
10 Ershov, Mikhail V.
10 Grunewald, Fritz J.
10 Leuzinger, Enrico
10 Margalit, Dan
10 Meiri, Chen
10 Moravec, Primož
10 Mozes, Shahar
10 Parzanchevski, Ori
10 Porti, Joan
10 Salehi Golsefidy, Alireza
10 Sarnak, Peter Clive
10 Thom, Andreas Berthold
9 Acciarri, Cristina
9 Bekka, Mohammed el Bachir
9 Capdeboscq, Inna
9 Caprace, Pierre-Emmanuel
9 Detomi, Eloisa
9 Lackenby, Marc
9 Meshulam, Roy
9 Müller, Thomas W.
9 Nikolov, Nikolay Valeriev
9 Shusterman, Mark
9 Vdovina, Alina A.
9 Voll, Christopher
8 Azarov, Dmitriĭ Nikolaevich
8 Detinko, Alla S.
8 Dinur, Irit
8 Glasner, Yair
8 Golubev, Konstantin
8 Haran, Dan
8 Heusener, Michael
8 Jarden, Moshe
8 Kunyavskiĭ, Boris Èmmanuilovich
8 Leedham-Green, Charles R.
8 Levit, Arie
8 Lim, Seonhee
8 Long, Darren D.
8 Mason, Alexander W.
8 McReynolds, David Ben
8 Mohar, Bojan
8 Myasnikov, Alexei G.
8 Oppenheim, Izhar
8 Ozawa, Narutaka
8 Sikora, Adam S.
8 Tiep Pham Huu
8 Tran, Anh Tuan
8 Wong, Kok Bin
7 Aramayona, Javier
7 Babai, László
7 Bader, Uri
7 Breuillard, Emmanuel
7 Carbone, Lisa J.
7 Cioabă, Sebastian M.
7 Conder, Marston Donald Edward
7 de Cornulier, Yves
7 Flannery, Dane Laurence
7 Goldman, William M.
7 González-Meneses, Juan
7 González-Sánchez, Jon
7 Gorodnik, Alexander
7 Grigorchuk, Rostislav Ivanovich
7 Ioana, Adrian
7 Kapovich, Michael
7 Kionke, Steffen
7 Ku, Cheng Yeaw
7 Nevo, Amos
7 O’Brien, Eamonn A.
7 Pak, Igor
...and 2,505 more Authors
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Cited in 346 Serials

197 Journal of Algebra
149 Israel Journal of Mathematics
84 Transactions of the American Mathematical Society
69 Proceedings of the American Mathematical Society
63 Advances in Mathematics
57 Geometriae Dedicata
48 Journal of Group Theory
47 Groups, Geometry, and Dynamics
46 Inventiones Mathematicae
44 Duke Mathematical Journal
39 International Journal of Algebra and Computation
37 Mathematische Zeitschrift
37 Algebraic & Geometric Topology
36 Communications in Algebra
35 Journal of Pure and Applied Algebra
35 Geometry & Topology
33 Mathematische Annalen
33 Combinatorica
31 Geometric and Functional Analysis. GAFA
28 Discrete Mathematics
27 Linear Algebra and its Applications
25 Annals of Mathematics. Second Series
24 European Journal of Combinatorics
23 Mathematical Proceedings of the Cambridge Philosophical Society
23 Journal of Combinatorial Theory. Series B
23 Journal of the European Mathematical Society (JEMS)
21 Ergodic Theory and Dynamical Systems
21 Bulletin of the American Mathematical Society. New Series
20 Archiv der Mathematik
20 Journal of Functional Analysis
20 Journal of the London Mathematical Society. Second Series
20 Proceedings of the London Mathematical Society. Third Series
20 Journal of the American Mathematical Society
19 Annales de l’Institut Fourier
19 Bulletin of the London Mathematical Society
18 Random Structures & Algorithms
18 Journal of Topology and Analysis
16 Compositio Mathematica
16 Siberian Mathematical Journal
15 Discrete Applied Mathematics
15 Journal für die Reine und Angewandte Mathematik
15 Monatshefte für Mathematik
15 Theoretical Computer Science
15 Topology and its Applications
15 Discrete & Computational Geometry
15 Experimental Mathematics
14 Journal of Number Theory
13 Communications in Mathematical Physics
13 Journal of Algebraic Combinatorics
13 The Electronic Journal of Combinatorics
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Forum of Mathematics, Sigma
12 Journal of Graph Theory
12 Journal of Mathematical Sciences (New York)
12 Journal of Topology
11 The Annals of Probability
11 Glasgow Mathematical Journal
11 Michigan Mathematical Journal
11 Finite Fields and their Applications
11 Proceedings of the Steklov Institute of Mathematics
10 Publications Mathématiques
10 Pacific Journal of Mathematics
10 Graphs and Combinatorics
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Combinatorics, Probability and Computing
10 Transformation Groups
10 Journal of the Australian Mathematical Society
9 Bulletin of the Australian Mathematical Society
9 SIAM Journal on Discrete Mathematics
8 Journal of Mathematical Physics
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Commentarii Mathematici Helvetici
8 The Journal of Symbolic Logic
8 Mathematische Nachrichten
8 SIAM Journal on Computing
8 Computational Complexity
8 International Journal of Group Theory
7 Information Processing Letters
7 Linear and Multilinear Algebra
7 Mathematics of Computation
7 Manuscripta Mathematica
7 Memoirs of the American Mathematical Society
7 Journal of Knot Theory and its Ramifications
7 Oberwolfach Reports
7 Algebra & Number Theory
6 Journal d’Analyse Mathématique
6 Journal of Combinatorial Theory. Series A
6 Journal of Computer and System Sciences
6 Designs, Codes and Cryptography
6 Journal of Algebra and its Applications
6 Journal of Noncommutative Geometry
6 Groups, Complexity, Cryptology
6 European Journal of Mathematics
5 Mathematical Notes
5 Algebra and Logic
5 Bulletin de la Société Mathématique de France
5 Illinois Journal of Mathematics
5 Indiana University Mathematics Journal
5 Journal of Computational and Applied Mathematics
5 Journal of Complexity
...and 246 more Serials
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Cited in 55 Fields

1,451 Group theory and generalizations (20-XX)
660 Combinatorics (05-XX)
387 Number theory (11-XX)
380 Manifolds and cell complexes (57-XX)
376 Topological groups, Lie groups (22-XX)
233 Computer science (68-XX)
178 Algebraic geometry (14-XX)
141 Dynamical systems and ergodic theory (37-XX)
124 Probability theory and stochastic processes (60-XX)
105 Functional analysis (46-XX)
88 Differential geometry (53-XX)
84 Information and communication theory, circuits (94-XX)
62 Geometry (51-XX)
61 Global analysis, analysis on manifolds (58-XX)
58 Functions of a complex variable (30-XX)
57 Mathematical logic and foundations (03-XX)
57 Nonassociative rings and algebras (17-XX)
56 Linear and multilinear algebra; matrix theory (15-XX)
55 Associative rings and algebras (16-XX)
53 Algebraic topology (55-XX)
52 Field theory and polynomials (12-XX)
51 Quantum theory (81-XX)
46 Abstract harmonic analysis (43-XX)
43 Several complex variables and analytic spaces (32-XX)
33 \(K\)-theory (19-XX)
28 Convex and discrete geometry (52-XX)
26 Operator theory (47-XX)
26 Operations research, mathematical programming (90-XX)
24 Measure and integration (28-XX)
18 Commutative algebra (13-XX)
17 Numerical analysis (65-XX)
16 Ordinary differential equations (34-XX)
16 General topology (54-XX)
16 Statistical mechanics, structure of matter (82-XX)
14 General and overarching topics; collections (00-XX)
14 Partial differential equations (35-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Statistics (62-XX)
9 Potential theory (31-XX)
7 Category theory; homological algebra (18-XX)
7 Difference and functional equations (39-XX)
7 Approximations and expansions (41-XX)
6 History and biography (01-XX)
5 Special functions (33-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Mechanics of particles and systems (70-XX)
4 Relativity and gravitational theory (83-XX)
4 Biology and other natural sciences (92-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 General algebraic systems (08-XX)
2 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)

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