Edit Profile (opens in new tab) Lucchini, Andrea Co-Author Distance Author ID: lucchini.andrea Published as: Lucchini, Andrea; Lucchini, A. Homepage: http://www.math.unipd.it/~lucchini/ External Links: MGP · ORCID · Math-Net.Ru · dblp Documents Indexed: 189 Publications since 1986, including 9 Additional arXiv Preprints Reviewing Activity: 254 Reviews Co-Authors: 50 Co-Authors with 136 Joint Publications 908 Co-Co-Authors all top 5 Co-Authors 53 single-authored 26 Detomi, Eloisa 15 Morigi, Marta 12 Spiga, Pablo 10 Crestani, Eleonora 10 Menegazzo, Federico 10 Moscatiello, Mariapia 8 Dalla Volta, Francesca 8 Damian, Erika 8 Nemmi, Daniele 7 Maróti, Attila 7 Morini, Fiorenza 6 Garonzi, Martino 6 Tamburini, Maria Chiara 5 Roney-Dougal, Colva M. 3 Acciarri, Cristina 3 Burness, Timothy C. 3 Shumyatsky, Pavel 3 Tracey, Gareth M. 2 Dung, Duong Hoang 2 Marion, Claude 1 Baddeley, Robert W. 1 Breuer, Thomas 1 Cameron, Peter Jephson 1 Cimetta, Leone 1 Colombo, Valentina 1 De Franceschi, Giovanni 1 de las Heras, Iker 1 Di Summa, Marco 1 Facchini, Alberto 1 Freedman, Saul D. 1 Garatea-Zaballa, Karmele 1 Garzoni, Daniele 1 Grazian, Valentina 1 Guralnick, Robert Michael 1 Harper, Scott 1 Herzog, Marcel 1 Kaplan, Gil 1 Mainardis, Mario 1 Malinin, Dmitry A. 1 Massa, Marilena 1 Monetta, Carmine 1 Nagy, Gábor Péter 1 Palcoux, Sebastien 1 Puglisi, Orazio 1 Semmen, Darren 1 Stanojkovski, Mima 1 Stellmacher, Bernd 1 Thakkar, Dhara 1 Traustason, Gunnar 1 Wilson, John Stuart all top 5 Serials 22 Journal of Algebra 18 Archiv der Mathematik 10 Communications in Algebra 10 Israel Journal of Mathematics 10 Journal of Group Theory 9 Rendiconti del Seminario Matematico della Università di Padova 7 Bulletin of the London Mathematical Society 5 Glasgow Mathematical Journal 4 Journal of Combinatorial Theory. Series A 4 Forum Mathematicum 4 Journal of Algebraic Combinatorics 4 International Journal of Group Theory 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Journal of Algebra and its Applications 3 Forum of Mathematics, Sigma 2 Bulletin of the Australian Mathematical Society 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Pure and Applied Algebra 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Algebras and Representation Theory 2 Journal of the Australian Mathematical Society 2 Ars Mathematica Contemporanea 2 Advances in Group Theory and Applications 2 Algebraic Combinatorics 1 Discrete Mathematics 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Le Matematiche 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 The Australasian Journal of Combinatorics 1 Algebra Colloquium 1 The Electronic Journal of Combinatorics 1 Algebra and Discrete Mathematics 1 Mediterranean Journal of Mathematics 1 Cubo 1 Groups, Geometry, and Dynamics 1 Bulletin of Mathematical Sciences 1 Transactions on Combinatorics 1 Transactions of the London Mathematical Society 1 Journal of the Iranian Mathematical Society all top 5 Fields 182 Group theory and generalizations (20-XX) 37 Combinatorics (05-XX) 27 Number theory (11-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 851 times in 377 Documents Cited by ▼ Year ▼ Crowns and factorization of the probabilistic zeta function of a finite group. Zbl 1072.20031 Detomi, E.; Lucchini, A. 47 2003 A bound on the number of generators of a finite group. Zbl 0679.20028 Lucchini, Andrea 33 1989 Finite groups that need more generators than any proper quotient. Zbl 0902.20013 Dalla Volta, Francesca; Lucchini, Andrea 32 1998 Generators for finite groups with a unique minimal normal subgroup. Zbl 0895.20027 Lucchini, Andrea; Menegazzo, Federico 26 1997 Generation of almost simple groups. Zbl 0839.20021 Dalla Volta, Francesca; Lucchini, Andrea 24 1995 On the clique number of the generating graph of a finite group. Zbl 1179.05052 Lucchini, Andrea; Maróti, Attila 20 2009 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058 Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 20 2010 On representing finite lattices as intervals in subgroup lattices of finite groups. Zbl 0886.20012 Baddeley, Robert; Lucchini, Andrea 16 1997 The largest size of a minimal generating set of a finite group. Zbl 1311.20035 Lucchini, Andrea 16 2013 Classical groups of large rank as Hurwitz groups. Zbl 1063.20504 Lucchini, A.; Tamburini, M. C. 15 1999 Hurwitz groups of large rank. Zbl 0953.20024 Lucchini, A.; Tamburini, M. C.; Wilson, J. S. 15 2000 Generators and minimal normal subgroups. Zbl 0831.20031 Lucchini, Andrea 15 1995 Some results and questions related to the generating graph a finite group. Zbl 1191.20018 Lucchini, Andrea; Maróti, Attila 14 2009 On the structure of primitive \(n\)-sum groups. Zbl 1163.20015 Detomi, Eloisa; Lucchini, Andrea 13 2008 The \(X\)-Dirichlet polynomial of a finite group. Zbl 1090.20038 Lucchini, Andrea 13 2005 The generating graph of finite soluble groups. Zbl 1300.20021 Crestani, Eleonora; Lucchini, Andrea 13 2013 Rings as the unions of proper subrings. Zbl 1267.16020 Lucchini, Andrea; Maróti, Attila 13 2012 On the number of generators and composition length of finite linear groups. Zbl 0992.20033 Lucchini, A.; Menegazzo, F.; Morigi, M. 12 2001 Crowns in profinite groups and applications. Zbl 1092.20022 Detomi, Eloisa; Lucchini, Andrea 12 2005 Probabilistic generation of finite groups with a unique minimal normal subgroup. Zbl 1331.20079 Detomi, E.; Lucchini, A. 12 2013 Asymptotic results for transitive permutation groups. Zbl 1021.20002 Lucchini, A.; Menegazzo, F.; Morigi, M. 11 2000 On the order of transitive permutation groups with cyclic point-stabilizer. Zbl 0940.20006 Lucchini, Andrea 11 1998 The diameter of the generating graph of a finite soluble group. Zbl 1426.20009 Lucchini, Andrea 11 2017 The non-isolated vertices in the generating graph of a direct powers of simple groups. Zbl 1276.20026 Crestani, Eleonora; Lucchini, Andrea 11 2013 The probabilistic zeta function of finite simple groups. Zbl 1127.20052 Damian, Erika; Lucchini, Andrea 10 2007 Boundedly generated subgroups of finite groups. Zbl 1258.20026 Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel 10 2012 Asymptotic results for primitive permutation groups and irreducible linear groups. Zbl 1063.20501 Lucchini, A.; Menegazzo, F.; Morigi, M. 10 2000 On the probability of generating a minimal \(d\)-generated group. Zbl 1011.20025 Dalla Volta, F.; Lucchini, A.; Morini, F. 10 2001 Invariable generation with elements of coprime prime-power orders. Zbl 1309.20067 Detomi, Eloisa; Lucchini, Andrea 10 2015 The smallest group with non-zero presentation rank. Zbl 0961.20028 Dalla Volta, Francesca; Lucchini, Andrea 9 1999 Subgroups of solvable groups with non-zero Möbius function. Zbl 1130.20027 Lucchini, Andrea 8 2007 Recognizing soluble groups from their probabilistic zeta functions. Zbl 1045.20054 Detomi, Eloisa; Lucchini, Andrea 8 2003 Some properties of the probabilistic zeta function of finite simple groups. Zbl 1113.20063 Damian, Erika; Lucchini, Andrea; Morini, Fiorenza 8 2004 Generating wreath products. Zbl 0811.20030 Lucchini, Andrea 8 1994 On the probability of generating finite groups with a unique minimal normal subgroup. Zbl 1064.20072 Lucchini, Andrea; Morini, Fiorenza 8 2002 On the subgroups with non-trivial Möbius number. Zbl 1206.20032 Lucchini, Andrea 8 2010 Generating wreath products and their augmentation ideals. Zbl 0898.20018 Lucchini, Andrea 7 1997 A 2-generated just-infinite profinite group which is not positively generated. Zbl 1074.20024 Lucchini, Andrea 7 2004 Some questions on the number of generators of a finite group. Zbl 0734.20012 Lucchini, Andrea 7 1990 Computing a set of generators of minimal cardinality in a solvable group. Zbl 0830.20003 Lucchini, Andrea; Menegazzo, Federico 7 1994 \(d\)-wise generation of prosolvable groups. Zbl 1271.20015 Crestani, Eleonora; Lucchini, Andrea 7 2012 Generating sets of finite groups. Zbl 1429.20017 Cameron, Peter J.; Lucchini, Andrea; Roney-Dougal, Colva M. 7 2018 The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina. Zbl 1499.20203 Lucchini, Andrea 7 2018 On the probability of generating prosoluble groups. Zbl 1158.20010 Lucchini, Andrea; Menegazzo, Federico; Morigi, Marta 6 2006 On subgroups with non-zero Möbius numbers in the alternating and symmetric groups. Zbl 1211.20003 Colombo, Valentina; Lucchini, Andrea 6 2010 On the Dirichlet polynomial of finite groups of Lie type. Zbl 1167.20334 Damian, Erika; Lucchini, Andrea 6 2006 The Dirichlet polynomial of a finite group and the subgroups of prime power index. Zbl 1070.20025 Damian, Erika; Lucchini, Andrea 6 2003 Profinite groups with multiplicative probabilistic zeta function. Zbl 1070.20035 Detomi, E.; Lucchini, A. 6 2004 Representation of certain lattices as intervals in subgroup lattices. Zbl 0805.20018 Lucchini, Andrea 6 1994 Covers and normal covers of finite groups. Zbl 1310.20031 Garonzi, Martino; Lucchini, Andrea 6 2015 Bias of group generators in the solvable case. Zbl 1346.20082 Crestani, Eleonora; Lucchini, Andrea 6 2015 Invariable generation of prosoluble groups. Zbl 1345.20039 Detomi, Eloisa; Lucchini, Andrea 6 2016 Irredundant and minimal covers of finite groups. Zbl 1352.20022 Lucchini, Andrea; Garonzi, Martino 6 2016 On the existence of a complement for a finite simple group in its automorphism group. Zbl 1032.20011 Lucchini, A.; Menegazzo, F.; Morigi, M. 6 2003 The expected number of random elements to generate a finite group. Zbl 1383.20041 Lucchini, Andrea 6 2016 Minimal generating sets of maximal size in finite monolithic groups. Zbl 1294.20043 Lucchini, Andrea 6 2013 On the minimal dimension of a finite simple group. Zbl 1477.20028 Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea 6 2020 On finite simple groups and Kneser graphs. Zbl 1206.20024 Lucchini, Andrea; Maróti, Attila 5 2009 \((2,3,k)\)-generated groups of large rank. Zbl 0944.20030 Lucchini, Andrea 5 1999 On groups with \(d\)-generator subgroups of coprime index. Zbl 0970.20020 Lucchini, Andrea 5 2000 On imprimitive groups with small degree. Zbl 0754.20005 Lucchini, Andrea 5 1991 Finite groups with \(p\)-multiplicative probabilistic zeta function. Zbl 1149.20022 Damian, E.; Lucchini, A. 5 2007 On the soluble graph of a finite group. Zbl 1517.20024 Burness, Timothy C.; Lucchini, Andrea; Nemmi, Daniele 5 2023 Maximal irredundant families of minimal size in the alternating group. Zbl 1515.20107 Garonzi, Martino; Lucchini, Andrea 5 2019 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030 Facchini, Alberto; Lucchini, Andrea 4 2018 Recognizing the alternating groups from their probabilistic zeta function. Zbl 1071.20060 Damian, E.; Lucchini, A. 4 2004 A bound on the presentation rank of a finite group. Zbl 0884.20013 Lucchini, Andrea 4 1997 On the generating graph of a simple group. Zbl 1425.20010 Lucchini, Andrea; Maróti, Attila; Roney-Dougal, Colva M. 4 2017 Graphs encoding the generating properties of a finite group. Zbl 07261810 Acciarri, Cristina; Lucchini, Andrea 4 2020 Connectivity of generating graphs of nilpotent groups. Zbl 1481.20111 Harper, Scott; Lucchini, Andrea 4 2020 Finite groups with planar generating graph. Zbl 1439.05105 Lucchini, Andrea 4 2020 Profinite groups with nonabelian crowns of bounded rank and their probabilistic zeta function. Zbl 1235.20028 Lucchini, Andrea 3 2011 Enumerating transitive finite permutation groups. Zbl 0940.20003 Lucchini, Andrea 3 1998 Generating minimally transitive groups. Zbl 0897.20002 Lucchini, Andrea 3 1998 Recognizing the prime divisors of the index of a proper subgroup. Zbl 1254.20022 Lucchini, Andrea; Morigi, Marta 3 2011 How many elements are needed to generate a finite group with good probability? Zbl 1042.20046 Detomi, Eloisa; Lucchini, Andrea; Morini, Fiorenza 3 2002 Some generalizations of the probabilistic zeta function. Zbl 1167.20040 Detomi, Eloisa; Lucchini, Andrea 3 2007 On the conjugacy problem for Carter subgroups. Zbl 0895.20025 Dalla Volta, F.; Lucchini, A.; Tamburini, M. C. 3 1998 Intervals in subgroup lattices of finite groups. Zbl 0805.20019 Lucchini, Andrea 3 1994 Invariable generation of permutation groups. Zbl 1322.20004 Detomi, Eloisa; Lucchini, Andrea 3 2015 An upper bound on the Chebotarev invariant of a finite group. Zbl 1380.20027 Lucchini, Andrea; Tracey, Gareth 3 2017 A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are \(d\)-generated. Zbl 1359.20043 Lucchini, Andrea 3 2016 Maximal subgroups of finite soluble groups in general position. Zbl 1358.20012 Detomi, Eloisa; Lucchini, Andrea 3 2016 Probability and bias in generating supersoluble groups. Zbl 1387.20058 Crestani, Eleonora; De Franceschi, Giovanni; Lucchini, Andrea 3 2016 The diameter of the non-nilpotent graph of a finite group. Zbl 1463.20042 Lucchini, Andrea; Nemmi, Daniele 3 2020 Applying the Kövári-Sós-Turán theorem to a question in group theory. Zbl 1481.20228 Lucchini, Andrea 3 2020 The graph of the generating \(d\)-tuples of a finite soluble group and the swap conjecture. Zbl 1287.20024 Crestani, Eleonora; Lucchini, Andrea 3 2013 Direct products of finite groups as unions of proper subgroups. Zbl 1223.20018 Garonzi, Martino; Lucchini, Andrea 3 2010 Generation of finite groups and maximal subgroup growth. Zbl 1482.20040 Lucchini, Andrea; Moscatiello, Mariapia 3 2020 Primitive permutation IBIS groups. Zbl 07385234 Lucchini, Andrea; Morigi, Marta; Moscatiello, Mariapia 3 2021 Minimal invariable generating sets. Zbl 1477.20064 Garzoni, Daniele; Lucchini, Andrea 3 2020 Minimal number of generators and composition length of socle in finite groups. Zbl 0852.20018 Dalla Volta, Francesca; Lucchini, Andrea 2 1996 The generating graph of some monolithic groups. Zbl 1332.20033 Crestani, Eleonora; Lucchini, Andrea 2 2012 Normal coverings of solvable groups. Zbl 1255.20027 Crestani, Eleonora; Lucchini, Andrea 2 2012 On profinite groups with polynomially bounded Möbius numbers. Zbl 1228.20026 Lucchini, Andrea 2 2011 On the minimal number of generators of free profinite products of profinite groups. Zbl 0973.20021 Lucchini, Andrea 2 2001 Some remarks on the probability of generating an almost simple group. Zbl 1048.20040 Dalla Volta, Francesca; Lucchini, Andrea; Morini, Fiorenza 2 2003 Profinite groups with a rational probabilistic zeta function. Zbl 1111.20031 Detomi, Eloisa; Lucchini, Andrea 2 2006 Probabilistic non-generators in profinite groups. Zbl 1111.20030 Detomi, E.; Lucchini, A. 2 2006 Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function. Zbl 1326.20030 Damian, E.; Lucchini, A. 2 2014 On the soluble graph of a finite group. Zbl 1517.20024 Burness, Timothy C.; Lucchini, Andrea; Nemmi, Daniele 5 2023 The Engel graph of a finite group. Zbl 1509.20032 Detomi, Eloisa; Lucchini, Andrea; Nemmi, Daniele 1 2023 Finite groups, minimal bases and the intersection number. Zbl 1521.20031 Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea 2 2022 Independent sets of generators of prime power order. Zbl 1503.20003 Lucchini, Andrea; Spiga, Pablo 2 2022 On the connectivity of the non-generating graph. Zbl 1510.20024 Lucchini, Andrea; Nemmi, Daniele 1 2022 A generalization of a question asked by B. H. Neumann. Zbl 1514.20232 Lucchini, Andrea 1 2022 Primitive permutation IBIS groups. Zbl 07385234 Lucchini, Andrea; Morigi, Marta; Moscatiello, Mariapia 3 2021 The non-\(\mathfrak{F}\) graph of a finite group. Zbl 1522.05192 Lucchini, Andrea; Nemmi, Daniele 2 2021 Finite groups with the same join graph as a finite nilpotent group. Zbl 07384197 Lucchini, Andrea 2 2021 The genus of the subgroup graph of a finite group. Zbl 1478.20017 Lucchini, Andrea 1 2021 Bounding the maximal size of independent generating sets of finite groups. Zbl 1477.20065 Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo 1 2021 On the minimal dimension of a finite simple group. Zbl 1477.20028 Burness, Timothy C.; Garonzi, Martino; Lucchini, Andrea 6 2020 Graphs encoding the generating properties of a finite group. Zbl 07261810 Acciarri, Cristina; Lucchini, Andrea 4 2020 Connectivity of generating graphs of nilpotent groups. Zbl 1481.20111 Harper, Scott; Lucchini, Andrea 4 2020 Finite groups with planar generating graph. Zbl 1439.05105 Lucchini, Andrea 4 2020 The diameter of the non-nilpotent graph of a finite group. Zbl 1463.20042 Lucchini, Andrea; Nemmi, Daniele 3 2020 Applying the Kövári-Sós-Turán theorem to a question in group theory. Zbl 1481.20228 Lucchini, Andrea 3 2020 Generation of finite groups and maximal subgroup growth. Zbl 1482.20040 Lucchini, Andrea; Moscatiello, Mariapia 3 2020 Minimal invariable generating sets. Zbl 1477.20064 Garzoni, Daniele; Lucchini, Andrea 3 2020 The independence graph of a finite group. Zbl 1479.20019 Lucchini, Andrea 2 2020 Generating maximal subgroups of finite almost simple groups. Zbl 1471.20024 Lucchini, Andrea; Marion, Claude; Tracey, Gareth 1 2020 The generating graph of a profinite group. Zbl 1481.20101 Lucchini, Andrea 1 2020 A probabilistic version of a theorem of László Kovács and Hyo-Seob Sim. Zbl 1443.20096 Lucchini, Andrea; Moscatiello, Mariapia 1 2020 Maximal irredundant families of minimal size in the alternating group. Zbl 1515.20107 Garonzi, Martino; Lucchini, Andrea 5 2019 Intersections of maximal subgroups in prosolvable groups. Zbl 1473.20035 De Las Heras, Iker; Lucchini, Andrea 2 2019 Groups satisfying a strong complement property. Zbl 1446.20045 Detomi, Eloisa; Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo; Traustason, Gunnar 2 2019 Generating sets of finite groups. Zbl 1429.20017 Cameron, Peter J.; Lucchini, Andrea; Roney-Dougal, Colva M. 7 2018 The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina. Zbl 1499.20203 Lucchini, Andrea 7 2018 The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 1476.20030 Facchini, Alberto; Lucchini, Andrea 4 2018 The diameter of the generating graph of a finite soluble group. Zbl 1426.20009 Lucchini, Andrea 11 2017 On the generating graph of a simple group. Zbl 1425.20010 Lucchini, Andrea; Maróti, Attila; Roney-Dougal, Colva M. 4 2017 An upper bound on the Chebotarev invariant of a finite group. Zbl 1380.20027 Lucchini, Andrea; Tracey, Gareth 3 2017 Invariable generation of iterated wreath products of cyclic groups. Zbl 1395.20017 Lucchini, Andrea 2 2017 Alternating and symmetric groups with Eulerian generating graph. Zbl 1425.20004 Lucchini, Andrea; Marion, Claude 1 2017 Invariable generation of prosoluble groups. Zbl 1345.20039 Detomi, Eloisa; Lucchini, Andrea 6 2016 Irredundant and minimal covers of finite groups. Zbl 1352.20022 Lucchini, Andrea; Garonzi, Martino 6 2016 The expected number of random elements to generate a finite group. Zbl 1383.20041 Lucchini, Andrea 6 2016 A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are \(d\)-generated. Zbl 1359.20043 Lucchini, Andrea 3 2016 Maximal subgroups of finite soluble groups in general position. Zbl 1358.20012 Detomi, Eloisa; Lucchini, Andrea 3 2016 Probability and bias in generating supersoluble groups. Zbl 1387.20058 Crestani, Eleonora; De Franceschi, Giovanni; Lucchini, Andrea 3 2016 Normally \(\zeta\)-reversible profinite groups. Zbl 1391.20021 Cimetta, Leone; Lucchini, Andrea 1 2016 The swap graph of the finite soluble groups. Zbl 1344.05068 Di Summa, Marco; Lucchini, Andrea 1 2016 The limiting distribution of the product replacement algorithm for finitely generated prosoluble groups. Zbl 1383.20017 Detomi, Eloisa; Lucchini, Andrea; Morigi, Marta 1 2016 Invariable generation with elements of coprime prime-power orders. Zbl 1309.20067 Detomi, Eloisa; Lucchini, Andrea 10 2015 Covers and normal covers of finite groups. Zbl 1310.20031 Garonzi, Martino; Lucchini, Andrea 6 2015 Bias of group generators in the solvable case. Zbl 1346.20082 Crestani, Eleonora; Lucchini, Andrea 6 2015 Invariable generation of permutation groups. Zbl 1322.20004 Detomi, Eloisa; Lucchini, Andrea 3 2015 Coprime invariable generation and minimal-exponent groups. Zbl 1345.20040 Detomi, Eloisa; Lucchini, Andrea; Roney-Dougal, Colva M. 2 2015 Finite soluble groups satisfying the swap conjecture. Zbl 1341.20012 Lucchini, Andrea 1 2015 Bias of group generators in finite and profinite groups: known results and open problems. Zbl 1456.20077 Crestani, Eleonora; Lucchini, Andrea 1 2015 Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function. Zbl 1326.20030 Damian, E.; Lucchini, A. 2 2014 Rationality of the probabilistic zeta functions of finitely generated profinite groups. Zbl 1309.20026 Dung, Duong Hoang; Lucchini, Andrea 2 2014 The largest size of a minimal generating set of a finite group. Zbl 1311.20035 Lucchini, Andrea 16 2013 The generating graph of finite soluble groups. Zbl 1300.20021 Crestani, Eleonora; Lucchini, Andrea 13 2013 Probabilistic generation of finite groups with a unique minimal normal subgroup. Zbl 1331.20079 Detomi, E.; Lucchini, A. 12 2013 The non-isolated vertices in the generating graph of a direct powers of simple groups. Zbl 1276.20026 Crestani, Eleonora; Lucchini, Andrea 11 2013 Minimal generating sets of maximal size in finite monolithic groups. Zbl 1294.20043 Lucchini, Andrea 6 2013 The graph of the generating \(d\)-tuples of a finite soluble group and the swap conjecture. Zbl 1287.20024 Crestani, Eleonora; Lucchini, Andrea 3 2013 Characterization of finitely generated infinitely iterated wreath products. Zbl 1293.20033 Detomi, Eloisa; Lucchini, Andrea 2 2013 Rings as the unions of proper subrings. Zbl 1267.16020 Lucchini, Andrea; Maróti, Attila 13 2012 Boundedly generated subgroups of finite groups. Zbl 1258.20026 Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel 10 2012 \(d\)-wise generation of prosolvable groups. Zbl 1271.20015 Crestani, Eleonora; Lucchini, Andrea 7 2012 The generating graph of some monolithic groups. Zbl 1332.20033 Crestani, Eleonora; Lucchini, Andrea 2 2012 Normal coverings of solvable groups. Zbl 1255.20027 Crestani, Eleonora; Lucchini, Andrea 2 2012 Profinite groups with nonabelian crowns of bounded rank and their probabilistic zeta function. Zbl 1235.20028 Lucchini, Andrea 3 2011 Recognizing the prime divisors of the index of a proper subgroup. Zbl 1254.20022 Lucchini, Andrea; Morigi, Marta 3 2011 On profinite groups with polynomially bounded Möbius numbers. Zbl 1228.20026 Lucchini, Andrea 2 2011 Closed normal subgroups of free pro-\(S\)-groups of finite rank. Zbl 1251.20029 Lucchini, Andrea 1 2011 Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058 Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P. 20 2010 On the subgroups with non-trivial Möbius number. Zbl 1206.20032 Lucchini, Andrea 8 2010 On subgroups with non-zero Möbius numbers in the alternating and symmetric groups. Zbl 1211.20003 Colombo, Valentina; Lucchini, Andrea 6 2010 Direct products of finite groups as unions of proper subgroups. Zbl 1223.20018 Garonzi, Martino; Lucchini, Andrea 3 2010 On the clique number of the generating graph of a finite group. Zbl 1179.05052 Lucchini, Andrea; Maróti, Attila 20 2009 Some results and questions related to the generating graph a finite group. Zbl 1191.20018 Lucchini, Andrea; Maróti, Attila 14 2009 On finite simple groups and Kneser graphs. Zbl 1206.20024 Lucchini, Andrea; Maróti, Attila 5 2009 On the structure of primitive \(n\)-sum groups. Zbl 1163.20015 Detomi, Eloisa; Lucchini, Andrea 13 2008 The probabilistic zeta function of finite simple groups. Zbl 1127.20052 Damian, Erika; Lucchini, Andrea 10 2007 Subgroups of solvable groups with non-zero Möbius function. Zbl 1130.20027 Lucchini, Andrea 8 2007 Finite groups with \(p\)-multiplicative probabilistic zeta function. Zbl 1149.20022 Damian, E.; Lucchini, A. 5 2007 Some generalizations of the probabilistic zeta function. Zbl 1167.20040 Detomi, Eloisa; Lucchini, Andrea 3 2007 Non-prosoluble profinite groups with a rational probabilistic zeta function. Zbl 1138.20028 Detomi, Eloisa; Lucchini, Andrea 1 2007 Complements of the socle in monolithic groups. Zbl 1162.20012 Lucchini, Andrea; Menegazzo, Federico; Morigi, Marta 1 2007 On the probability of generating prosoluble groups. Zbl 1158.20010 Lucchini, Andrea; Menegazzo, Federico; Morigi, Marta 6 2006 On the Dirichlet polynomial of finite groups of Lie type. Zbl 1167.20334 Damian, Erika; Lucchini, Andrea 6 2006 Profinite groups with a rational probabilistic zeta function. Zbl 1111.20031 Detomi, Eloisa; Lucchini, Andrea 2 2006 Probabilistic non-generators in profinite groups. Zbl 1111.20030 Detomi, E.; Lucchini, A. 2 2006 The \(X\)-Dirichlet polynomial of a finite group. Zbl 1090.20038 Lucchini, Andrea 13 2005 Crowns in profinite groups and applications. Zbl 1092.20022 Detomi, Eloisa; Lucchini, Andrea 12 2005 Some properties of the probabilistic zeta function of finite simple groups. Zbl 1113.20063 Damian, Erika; Lucchini, Andrea; Morini, Fiorenza 8 2004 A 2-generated just-infinite profinite group which is not positively generated. Zbl 1074.20024 Lucchini, Andrea 7 2004 Profinite groups with multiplicative probabilistic zeta function. Zbl 1070.20035 Detomi, E.; Lucchini, A. 6 2004 Recognizing the alternating groups from their probabilistic zeta function. Zbl 1071.20060 Damian, E.; Lucchini, A. 4 2004 Complements of the socle in almost simple groups. Zbl 1106.20014 Lucchini, A.; Menegazzo, F.; Morigi, M. 1 2004 Crowns and factorization of the probabilistic zeta function of a finite group. Zbl 1072.20031 Detomi, E.; Lucchini, A. 47 2003 Recognizing soluble groups from their probabilistic zeta functions. Zbl 1045.20054 Detomi, Eloisa; Lucchini, Andrea 8 2003 The Dirichlet polynomial of a finite group and the subgroups of prime power index. Zbl 1070.20025 Damian, Erika; Lucchini, Andrea 6 2003 On the existence of a complement for a finite simple group in its automorphism group. Zbl 1032.20011 Lucchini, A.; Menegazzo, F.; Morigi, M. 6 2003 Some remarks on the probability of generating an almost simple group. Zbl 1048.20040 Dalla Volta, Francesca; Lucchini, Andrea; Morini, Fiorenza 2 2003 On subgroups containing non-trivial normal subgroups. Zbl 1128.20305 Herzog, Marcel; Kaplan, Gil; Lucchini, Andrea 1 2003 On the probability of generating finite groups with a unique minimal normal subgroup. Zbl 1064.20072 Lucchini, Andrea; Morini, Fiorenza 8 2002 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 311 Authors 115 Lucchini, Andrea 18 Detomi, Eloisa 14 Spiga, Pablo 12 Burness, Timothy C. 12 Morigi, Marta 12 Shumyatsky, Pavel 9 Crestani, Eleonora 9 Garonzi, Martino 8 Guralnick, Robert Michael 8 Menegazzo, Federico 8 Moscatiello, Mariapia 8 Roney-Dougal, Colva M. 8 Tracey, Gareth M. 7 Harper, Scott 7 Shareshian, John 7 Tamburini, Maria Chiara 6 Aschbacher, Michael George 6 Ballester-Bolinches, Adolfo 6 Maróti, Attila 6 Nemmi, Daniele 6 Patassini, Massimiliano 6 Werner, Nicholas J. 5 Acciarri, Cristina 5 Cameron, Peter Jephson 5 Dalla Volta, Francesca 5 Damian, Erika 5 Swartz, Eric 5 Vsemirnov, Maxim 5 Woodroofe, Russ 4 Dixon, Martyn Russell 4 Facchini, Alberto 4 Freedman, Saul D. 4 Garzoni, Daniele 4 Holt, Derek F. 4 Jiménez Seral, Paz 4 Pyber, László 4 Shalev, Aner 4 Stocka, Agnieszka 4 Vasil’ev, Andreĭ Viktorovich 4 Xu, Feng 3 Conder, Marston Donald Edward 3 Esteban-Romero, Ramón 3 Fumagalli, Francesco 3 Kappe, Luise-Charlotte 3 Klopsch, Benjamin 3 Kurdachenko, Leonid Andriĭovych 3 Liebeck, Martin Walter 3 Lubotzky, Alexander 3 Marion, Claude 3 Meng, Hangyang 3 Morris, Joy 3 Murashka, Viachaslau I. 3 Praeger, Cheryl Elisabeth 3 Vannacci, Matteo 3 Woryna, Adam 3 Zini, Giovanni 2 Araújo, João 2 Bachratý, Martin 2 Baniasad Azad, Morteza 2 Churikov, Dmitriy Vladimirovich 2 Cossey, John 2 Covato, Elisa 2 Cox, Charles Garnet 2 Di Martino, Lino 2 Dung, Duong Hoang 2 Eick, Bettina 2 Gagola, Stephen M. III 2 Herzog, Marcel 2 Jaikin-Zapirain, Andrei 2 Kaplan, Gil 2 Kassabov, Martin 2 Khosravi, Behrooz 2 Khukhro, Evgeniĭ I. 2 Krempa, Jan 2 Maslova, Natal’ya Vladimirovna 2 Morini, Fiorenza 2 Otal, Javier 2 Quick, Martyn 2 Razafimahatratra, Andriaherimanana Sarobidy 2 Segal, Daniel 2 Vasil’ev, Aleksandr Fëdorovich 2 Vasilyev, V. L. 2 Vdovin, Evgeniĭ Petrovich 2 Zalesski, Alexandre Efimovich 1 Abdollahi, Alireza 1 Abért, Miklós 1 Akbari, Banafsheh 1 Altun-Özarslan, Meltem 1 Anitha, T. 1 Apisa, Paul 1 Araújo, João Pedro 1 Arroyo Paniagua, María José 1 Ashrafi, Ali Reza 1 Baddeley, Robert W. 1 Bahrami, Zahara 1 Ball, Simeon 1 Barnea, Yiftach 1 de Araujo Bastos, Raimundo jun. 1 Bauer, Thorsten 1 Baykalov, Anton A. ...and 211 more Authors all top 5 Cited in 99 Serials 57 Journal of Algebra 28 Communications in Algebra 25 Journal of Group Theory 21 Israel Journal of Mathematics 21 Archiv der Mathematik 9 Journal of Algebraic Combinatorics 8 Bulletin of the Australian Mathematical Society 8 Rendiconti del Seminario Matematico della Università di Padova 8 Transactions of the American Mathematical Society 8 International Journal of Group Theory 7 Journal of Combinatorial Theory. Series A 7 Journal of Pure and Applied Algebra 7 Journal of the Australian Mathematical Society 6 Forum of Mathematics, Sigma 5 Advances in Mathematics 5 Monatshefte für Mathematik 5 Proceedings of the American Mathematical Society 5 Siberian Mathematical Journal 5 Journal of Algebra and its Applications 4 Glasgow Mathematical Journal 4 Results in Mathematics 4 Forum Mathematicum 4 Algebraic Combinatorics 3 Discrete Mathematics 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin of the London Mathematical Society 3 Mathematische Zeitschrift 3 International Journal of Algebra and Computation 3 Journal of Mathematical Sciences (New York) 3 Mediterranean Journal of Mathematics 3 Ars Mathematica Contemporanea 2 Algebra and Logic 2 Canadian Mathematical Bulletin 2 Geometriae Dedicata 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Ricerche di Matematica 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 Expositiones Mathematicae 2 Algebra Colloquium 2 The Electronic Journal of Combinatorics 2 Algebras and Representation Theory 2 Annals of Mathematics. Second Series 2 LMS Journal of Computation and Mathematics 2 Central European Journal of Mathematics 2 Groups, Geometry, and Dynamics 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Algebra Universalis 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Acta Mathematica Hungarica 1 Journal of the American Mathematical Society 1 Designs, Codes and Cryptography 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Doklady Mathematics 1 Vietnam Journal of Mathematics 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Algebra and Discrete Mathematics 1 AKCE International Journal of Graphs and Combinatorics 1 Contributions to Discrete Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Algebra & Number Theory 1 Involve 1 Asian-European Journal of Mathematics 1 Groups, Complexity, Cryptology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 Palestine Journal of Mathematics 1 Transactions of the London Mathematical Society 1 Open Mathematics 1 Algebraic Structures and their Applications 1 Advances in Group Theory and Applications 1 Pure and Applied Analysis 1 Journal of the Iranian Mathematical Society 1 Combinatorial Theory all top 5 Cited in 29 Fields 344 Group theory and generalizations (20-XX) 82 Combinatorics (05-XX) 30 Number theory (11-XX) 21 Order, lattices, ordered algebraic structures (06-XX) 18 Associative rings and algebras (16-XX) 9 Computer science (68-XX) 5 General algebraic systems (08-XX) 5 Algebraic geometry (14-XX) 5 Functional analysis (46-XX) 5 Manifolds and cell complexes (57-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year