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Lucchini, Andrea

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Author ID: lucchini.andrea Recent zbMATH articles by "Lucchini, Andrea"
Published as: Lucchini, A.; Lucchini, Andrea
Homepage: http://www.math.unipd.it/~lucchini/
External Links: MGP · Math-Net.Ru · ORCID · dblp
Documents Indexed: 152 Publications since 1986
Reviewing Activity: 209 Reviews
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Serials

20 Journal of Algebra
16 Archiv der Mathematik
10 Israel Journal of Mathematics
10 Journal of Group Theory
9 Communications in Algebra
9 Rendiconti del Seminario Matematico della Università di Padova
5 Bulletin of the London Mathematical Society
4 Glasgow Mathematical Journal
4 Journal of Algebraic Combinatorics
4 International Journal of Group Theory
3 Journal of the London Mathematical Society. Second Series
3 Monatshefte für Mathematik
3 Forum Mathematicum
3 Forum of Mathematics, Sigma
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Combinatorial Theory. Series A
2 Journal of Pure and Applied Algebra
2 Mathematische Nachrichten
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Algebras and Representation Theory
2 Journal of the Australian Mathematical Society
2 Journal of Algebra and its Applications
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Rocky Mountain Journal of Mathematics
1 Beiträge zur Algebra und Geometrie
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 Transactions of the American Mathematical Society
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 The Australasian Journal of Combinatorics
1 Algebra Colloquium
1 Algebra and Discrete Mathematics
1 Cubo
1 Groups, Geometry, and Dynamics
1 Ars Mathematica Contemporanea
1 Transactions on Combinatorics
1 Advances in Group Theory and Applications
1 Algebraic Combinatorics

Publications by Year

Citations contained in zbMATH

110 Publications have been cited 596 times in 267 Documents Cited by Year
Crowns and factorization of the probabilistic zeta function of a finite group. Zbl 1072.20031
Detomi, E.; Lucchini, A.
38
2003
A bound on the number of generators of a finite group. Zbl 0679.20028
Lucchini, Andrea
27
1989
Generators for finite groups with a unique minimal normal subgroup. Zbl 0895.20027
Lucchini, Andrea; Menegazzo, Federico
22
1997
Generation of almost simple groups. Zbl 0839.20021
Dalla Volta, Francesca; Lucchini, Andrea
20
1995
Finite groups that need more generators than any proper quotient. Zbl 0902.20013
Dalla Volta, Francesca; Lucchini, Andrea
19
1998
Hamiltonian cycles in the generating graphs of finite groups. Zbl 1223.20058
Breuer, T.; Guralnick, R. M.; Lucchini, A.; Maróti, A.; Nagy, G. P.
18
2010
On representing finite lattices as intervals in subgroup lattices of finite groups. Zbl 0886.20012
Baddeley, Robert; Lucchini, Andrea
14
1997
On the clique number of the generating graph of a finite group. Zbl 1179.05052
Lucchini, Andrea; Maróti, Attila
13
2009
Hurwitz groups of large rank. Zbl 0953.20024
Lucchini, A.; Tamburini, M. C.; Wilson, J. S.
13
2000
Classical groups of large rank as Hurwitz groups. Zbl 1063.20504
Lucchini, A.; Tamburini, M. C.
13
1999
The \(X\)-Dirichlet polynomial of a finite group. Zbl 1090.20038
Lucchini, Andrea
11
2005
Generators and minimal normal subgroups. Zbl 0831.20031
Lucchini, Andrea
11
1995
The probabilistic zeta function of finite simple groups. Zbl 1127.20052
Damian, Erika; Lucchini, Andrea
10
2007
On the number of generators and composition length of finite linear groups. Zbl 0992.20033
Lucchini, A.; Menegazzo, F.; Morigi, M.
10
2001
Boundedly generated subgroups of finite groups. Zbl 1258.20026
Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel
9
2012
On the structure of primitive \(n\)-sum groups. Zbl 1163.20015
Detomi, Eloisa; Lucchini, Andrea
9
2008
The largest size of a minimal generating set of a finite group. Zbl 1311.20035
Lucchini, Andrea
8
2013
Probabilistic generation of finite groups with a unique minimal normal subgroup. Zbl 1331.20079
Detomi, E.; Lucchini, A.
8
2013
Some results and questions related to the generating graph a finite group. Zbl 1191.20018
Lucchini, Andrea; Maróti, Attila
8
2009
Some properties of the probabilistic zeta function of finite simple groups. Zbl 1113.20063
Damian, Erika; Lucchini, Andrea; Morini, Fiorenza
8
2004
On the probability of generating a minimal \(d\)-generated group. Zbl 1011.20025
Dalla Volta, F.; Lucchini, A.; Morini, F.
8
2001
Generating wreath products. Zbl 0811.20030
Lucchini, Andrea
8
1994
The generating graph of finite soluble groups. Zbl 1300.20021
Crestani, Eleonora; Lucchini, Andrea
7
2013
Subgroups of solvable groups with non-zero Möbius function. Zbl 1130.20027
Lucchini, Andrea
7
2007
Crowns in profinite groups and applications. Zbl 1092.20022
Detomi, Eloisa; Lucchini, Andrea
7
2005
A 2-generated just-infinite profinite group which is not positively generated. Zbl 1074.20024
Lucchini, Andrea
7
2004
Recognizing soluble groups from their probabilistic zeta functions. Zbl 1045.20054
Detomi, Eloisa; Lucchini, Andrea
7
2003
On the probability of generating finite groups with a unique minimal normal subgroup. Zbl 1064.20072
Lucchini, Andrea; Morini, Fiorenza
7
2002
Asymptotic results for transitive permutation groups. Zbl 1021.20002
Lucchini, A.; Menegazzo, F.; Morigi, M.
7
2000
The diameter of the generating graph of a finite soluble group. Zbl 1426.20009
Lucchini, Andrea
6
2017
Bias of group generators in the solvable case. Zbl 1346.20082
Crestani, Eleonora; Lucchini, Andrea
6
2015
Invariable generation with elements of coprime prime-power orders. Zbl 1309.20067
Detomi, Eloisa; Lucchini, Andrea
6
2015
The non-isolated vertices in the generating graph of a direct powers of simple groups. Zbl 1276.20026
Crestani, Eleonora; Lucchini, Andrea
6
2013
\(d\)-wise generation of prosolvable groups. Zbl 1271.20015
Crestani, Eleonora; Lucchini, Andrea
6
2012
Rings as the unions of proper subrings. Zbl 1267.16020
Lucchini, Andrea; Maróti, Attila
6
2012
On the probability of generating prosoluble groups. Zbl 1158.20010
Lucchini, Andrea; Menegazzo, Federico; Morigi, Marta
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
Asymptotic results for primitive permutation groups and irreducible linear groups. Zbl 1063.20501
Lucchini, A.; Menegazzo, F.; Morigi, M.
6
2000
The smallest group with non-zero presentation rank. Zbl 0961.20028
Dalla Volta, Francesca; Lucchini, Andrea
6
1999
On the order of transitive permutation groups with cyclic point-stabilizer. Zbl 0940.20006
Lucchini, Andrea
6
1998
Representation of certain lattices as intervals in subgroup lattices. Zbl 0805.20018
Lucchini, Andrea
6
1994
Some questions on the number of generators of a finite group. Zbl 0734.20012
Lucchini, Andrea
6
1990
Invariable generation of prosoluble groups. Zbl 1345.20039
Detomi, Eloisa; Lucchini, Andrea
5
2016
Finite groups with \(p\)-multiplicative probabilistic zeta function. Zbl 1149.20022
Damian, E.; Lucchini, A.
5
2007
On the Dirichlet polynomial of finite groups of Lie type. Zbl 1167.20334
Damian, Erika; Lucchini, Andrea
5
2006
Profinite groups with multiplicative probabilistic zeta function. Zbl 1070.20035
Detomi, E.; Lucchini, A.
5
2004
On groups with \(d\)-generator subgroups of coprime index. Zbl 0970.20020
Lucchini, Andrea
5
2000
\((2,3,k)\)-generated groups of large rank. Zbl 0944.20030
Lucchini, Andrea
5
1999
Generating wreath products and their augmentation ideals. Zbl 0898.20018
Lucchini, Andrea
5
1997
Irredundant and minimal covers of finite groups. Zbl 1352.20022
Lucchini, Andrea; Garonzi, Martino
4
2016
Covers and normal covers of finite groups. Zbl 1310.20031
Garonzi, Martino; Lucchini, Andrea
4
2015
On the subgroups with non-trivial Möbius number. Zbl 1206.20032
Lucchini, Andrea
4
2010
On finite simple groups and Kneser graphs. Zbl 1206.20024
Lucchini, Andrea; Maróti, Attila
4
2009
Recognizing the alternating groups from their probabilistic zeta function. Zbl 1071.20060
Damian, E.; Lucchini, A.
4
2004
The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina. Zbl 06941171
Lucchini, Andrea
3
2018
Generating sets of finite groups. Zbl 1429.20017
Cameron, Peter J.; Lucchini, Andrea; Roney-Dougal, Colva M.
3
2018
On the generating graph of a simple group. Zbl 1425.20010
Lucchini, Andrea; Maróti, Attila; Roney-Dougal, Colva M.
3
2017
Probability and bias in generating supersoluble groups. Zbl 1387.20058
Crestani, Eleonora; De Franceschi, Giovanni; Lucchini, Andrea
3
2016
The expected number of random elements to generate a finite group. Zbl 1383.20041
Lucchini, Andrea
3
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
Minimal generating sets of maximal size in finite monolithic groups. Zbl 1294.20043
Lucchini, Andrea
3
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
Profinite groups with nonabelian crowns of bounded rank and their probabilistic zeta function. Zbl 1235.20028
Lucchini, Andrea
3
2011
On subgroups with non-zero Möbius numbers in the alternating and symmetric groups. Zbl 1211.20003
Colombo, Valentina; Lucchini, Andrea
3
2010
Direct products of finite groups as unions of proper subgroups. Zbl 1223.20018
Garonzi, Martino; Lucchini, Andrea
3
2010
Some generalizations of the probabilistic zeta function. Zbl 1167.20040
Detomi, Eloisa; Lucchini, Andrea
3
2007
Generating minimally transitive groups. Zbl 0897.20002
Lucchini, Andrea
3
1998
On the conjugacy problem for Carter subgroups. Zbl 0895.20025
Dalla Volta, F.; Lucchini, A.; Tamburini, M. C.
3
1998
A bound on the presentation rank of a finite group. Zbl 0884.20013
Lucchini, Andrea
3
1997
Computing a set of generators of minimal cardinality in a solvable group. Zbl 0830.20003
Lucchini, Andrea; Menegazzo, Federico
3
1994
Intervals in subgroup lattices of finite groups. Zbl 0805.20019
Lucchini, Andrea
3
1994
On imprimitive groups with small degree. Zbl 0754.20005
Lucchini, Andrea
3
1991
Finite groups with planar generating graph. Zbl 1439.05105
Lucchini, Andrea
2
2020
The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 06873026
Facchini, Alberto; Lucchini, Andrea
2
2018
An upper bound on the Chebotarev invariant of a finite group. Zbl 1380.20027
Lucchini, Andrea; Tracey, Gareth
2
2017
Coprime invariable generation and minimal-exponent groups. Zbl 1345.20040
Detomi, Eloisa; Lucchini, Andrea; Roney-Dougal, Colva M.
2
2015
Invariable generation of permutation groups. Zbl 1322.20004
Detomi, Eloisa; Lucchini, Andrea
2
2015
Rationality of the probabilistic zeta functions of finitely generated profinite groups. Zbl 1309.20026
Dung, Duong Hoang; Lucchini, Andrea
2
2014
Characterization of finitely generated infinitely iterated wreath products. Zbl 1293.20033
Detomi, Eloisa; Lucchini, Andrea
2
2013
Normal coverings of solvable groups. Zbl 1255.20027
Crestani, Eleonora; Lucchini, Andrea
2
2012
The generating graph of some monolithic groups. Zbl 1332.20033
Crestani, Eleonora; Lucchini, Andrea
2
2012
Recognizing the prime divisors of the index of a proper subgroup. Zbl 1254.20022
Lucchini, Andrea; Morigi, Marta
2
2011
Profinite groups with a rational probabilistic zeta function. Zbl 1111.20031
Detomi, Eloisa; Lucchini, Andrea
2
2006
Some remarks on the probability of generating an almost simple group. Zbl 1048.20040
Dalla Volta, Francesca; Lucchini, Andrea; Morini, Fiorenza
2
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.
2
2003
How many elements are needed to generate a finite group with good probability? Zbl 1042.20046
Detomi, Eloisa; Lucchini, Andrea; Morini, Fiorenza
2
2002
On the minimal number of generators of free profinite products of profinite groups. Zbl 0973.20021
Lucchini, Andrea
2
2001
Enumerating transitive finite permutation groups. Zbl 0940.20003
Lucchini, Andrea
2
1998
Minimal number of generators and composition length of socle in finite groups. Zbl 0852.20018
Dalla Volta, Francesca; Lucchini, Andrea
2
1996
Graphs encoding the generating properties of a finite group. Zbl 07261810
Acciarri, Cristina; Lucchini, Andrea
1
2020
Groups satisfying a strong complement property. Zbl 1446.20045
Detomi, Eloisa; Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo; Traustason, Gunnar
1
2019
Maximal irredundant families of minimal size in the alternating group. Zbl 07078271
Garonzi, Martino; Lucchini, Andrea
1
2019
Intersections of maximal subgroups in prosolvable groups. Zbl 07072626
De Las Heras, Iker; Lucchini, Andrea
1
2019
Alternating and symmetric groups with Eulerian generating graph. Zbl 1425.20004
Lucchini, Andrea; Marion, Claude
1
2017
Invariable generation of iterated wreath products of cyclic groups. Zbl 1395.20017
Lucchini, Andrea
1
2017
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
Maximal subgroups of finite soluble groups in general position. Zbl 1358.20012
Detomi, Eloisa; Lucchini, Andrea
1
2016
Finite soluble groups satisfying the swap conjecture. Zbl 1341.20012
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.
1
2014
Finite groups with planar generating graph. Zbl 1439.05105
Lucchini, Andrea
2
2020
Graphs encoding the generating properties of a finite group. Zbl 07261810
Acciarri, Cristina; Lucchini, Andrea
1
2020
Groups satisfying a strong complement property. Zbl 1446.20045
Detomi, Eloisa; Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo; Traustason, Gunnar
1
2019
Maximal irredundant families of minimal size in the alternating group. Zbl 07078271
Garonzi, Martino; Lucchini, Andrea
1
2019
Intersections of maximal subgroups in prosolvable groups. Zbl 07072626
De Las Heras, Iker; Lucchini, Andrea
1
2019
The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina. Zbl 06941171
Lucchini, Andrea
3
2018
Generating sets of finite groups. Zbl 1429.20017
Cameron, Peter J.; Lucchini, Andrea; Roney-Dougal, Colva M.
3
2018
The Krull-Schmidt theorem holds for finite direct products of biuniform groups. Zbl 06873026
Facchini, Alberto; Lucchini, Andrea
2
2018
The diameter of the generating graph of a finite soluble group. Zbl 1426.20009
Lucchini, Andrea
6
2017
On the generating graph of a simple group. Zbl 1425.20010
Lucchini, Andrea; Maróti, Attila; Roney-Dougal, Colva M.
3
2017
An upper bound on the Chebotarev invariant of a finite group. Zbl 1380.20027
Lucchini, Andrea; Tracey, Gareth
2
2017
Alternating and symmetric groups with Eulerian generating graph. Zbl 1425.20004
Lucchini, Andrea; Marion, Claude
1
2017
Invariable generation of iterated wreath products of cyclic groups. Zbl 1395.20017
Lucchini, Andrea
1
2017
Invariable generation of prosoluble groups. Zbl 1345.20039
Detomi, Eloisa; Lucchini, Andrea
5
2016
Irredundant and minimal covers of finite groups. Zbl 1352.20022
Lucchini, Andrea; Garonzi, Martino
4
2016
Probability and bias in generating supersoluble groups. Zbl 1387.20058
Crestani, Eleonora; De Franceschi, Giovanni; Lucchini, Andrea
3
2016
The expected number of random elements to generate a finite group. Zbl 1383.20041
Lucchini, Andrea
3
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
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
Maximal subgroups of finite soluble groups in general position. Zbl 1358.20012
Detomi, Eloisa; Lucchini, Andrea
1
2016
Bias of group generators in the solvable case. Zbl 1346.20082
Crestani, Eleonora; Lucchini, Andrea
6
2015
Invariable generation with elements of coprime prime-power orders. Zbl 1309.20067
Detomi, Eloisa; Lucchini, Andrea
6
2015
Covers and normal covers of finite groups. Zbl 1310.20031
Garonzi, Martino; Lucchini, Andrea
4
2015
Coprime invariable generation and minimal-exponent groups. Zbl 1345.20040
Detomi, Eloisa; Lucchini, Andrea; Roney-Dougal, Colva M.
2
2015
Invariable generation of permutation groups. Zbl 1322.20004
Detomi, Eloisa; Lucchini, Andrea
2
2015
Finite soluble groups satisfying the swap conjecture. Zbl 1341.20012
Lucchini, Andrea
1
2015
Rationality of the probabilistic zeta functions of finitely generated profinite groups. Zbl 1309.20026
Dung, Duong Hoang; Lucchini, Andrea
2
2014
Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function. Zbl 1326.20030
Damian, E.; Lucchini, A.
1
2014
The largest size of a minimal generating set of a finite group. Zbl 1311.20035
Lucchini, Andrea
8
2013
Probabilistic generation of finite groups with a unique minimal normal subgroup. Zbl 1331.20079
Detomi, E.; Lucchini, A.
8
2013
The generating graph of finite soluble groups. Zbl 1300.20021
Crestani, Eleonora; Lucchini, Andrea
7
2013
The non-isolated vertices in the generating graph of a direct powers of simple groups. Zbl 1276.20026
Crestani, Eleonora; Lucchini, Andrea
6
2013
Minimal generating sets of maximal size in finite monolithic groups. Zbl 1294.20043
Lucchini, Andrea
3
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
Boundedly generated subgroups of finite groups. Zbl 1258.20026
Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel
9
2012
\(d\)-wise generation of prosolvable groups. Zbl 1271.20015
Crestani, Eleonora; Lucchini, Andrea
6
2012
Rings as the unions of proper subrings. Zbl 1267.16020
Lucchini, Andrea; Maróti, Attila
6
2012
Normal coverings of solvable groups. Zbl 1255.20027
Crestani, Eleonora; Lucchini, Andrea
2
2012
The generating graph of some monolithic groups. Zbl 1332.20033
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
2
2011
Closed normal subgroups of free pro-\(S\)-groups of finite rank. Zbl 1251.20029
Lucchini, Andrea
1
2011
On profinite groups with polynomially bounded Möbius numbers. Zbl 1228.20026
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.
18
2010
On the subgroups with non-trivial Möbius number. Zbl 1206.20032
Lucchini, Andrea
4
2010
On subgroups with non-zero Möbius numbers in the alternating and symmetric groups. Zbl 1211.20003
Colombo, Valentina; Lucchini, Andrea
3
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
13
2009
Some results and questions related to the generating graph a finite group. Zbl 1191.20018
Lucchini, Andrea; Maróti, Attila
8
2009
On finite simple groups and Kneser graphs. Zbl 1206.20024
Lucchini, Andrea; Maróti, Attila
4
2009
On the structure of primitive \(n\)-sum groups. Zbl 1163.20015
Detomi, Eloisa; Lucchini, Andrea
9
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
7
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
Complements of the socle in monolithic groups. Zbl 1162.20012
Lucchini, Andrea; Menegazzo, Federico; Morigi, Marta
1
2007
Non-prosoluble profinite groups with a rational probabilistic zeta function. Zbl 1138.20028
Detomi, Eloisa; Lucchini, Andrea
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
5
2006
Profinite groups with a rational probabilistic zeta function. Zbl 1111.20031
Detomi, Eloisa; Lucchini, Andrea
2
2006
The \(X\)-Dirichlet polynomial of a finite group. Zbl 1090.20038
Lucchini, Andrea
11
2005
Crowns in profinite groups and applications. Zbl 1092.20022
Detomi, Eloisa; Lucchini, Andrea
7
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.
5
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.
38
2003
Recognizing soluble groups from their probabilistic zeta functions. Zbl 1045.20054
Detomi, Eloisa; Lucchini, Andrea
7
2003
The Dirichlet polynomial of a finite group and the subgroups of prime power index. Zbl 1070.20025
Damian, Erika; Lucchini, Andrea
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 the existence of a complement for a finite simple group in its automorphism group. Zbl 1032.20011
Lucchini, A.; Menegazzo, F.; Morigi, M.
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
7
2002
How many elements are needed to generate a finite group with good probability? Zbl 1042.20046
Detomi, Eloisa; Lucchini, Andrea; Morini, Fiorenza
2
2002
On the number of generators and composition length of finite linear groups. Zbl 0992.20033
Lucchini, A.; Menegazzo, F.; Morigi, M.
10
2001
On the probability of generating a minimal \(d\)-generated group. Zbl 1011.20025
Dalla Volta, F.; Lucchini, A.; Morini, F.
8
2001
On the minimal number of generators of free profinite products of profinite groups. Zbl 0973.20021
Lucchini, Andrea
2
2001
On the number of generators of finite images of free products of finite groups. Zbl 1001.20021
Lucchini, Andrea
1
2001
Hurwitz groups of large rank. Zbl 0953.20024
Lucchini, A.; Tamburini, M. C.; Wilson, J. S.
13
2000
Asymptotic results for transitive permutation groups. Zbl 1021.20002
Lucchini, A.; Menegazzo, F.; Morigi, M.
7
2000
Asymptotic results for primitive permutation groups and irreducible linear groups. Zbl 1063.20501
Lucchini, A.; Menegazzo, F.; Morigi, M.
6
2000
On groups with \(d\)-generator subgroups of coprime index. Zbl 0970.20020
Lucchini, Andrea
5
2000
Classical groups of large rank as Hurwitz groups. Zbl 1063.20504
Lucchini, A.; Tamburini, M. C.
13
1999
The smallest group with non-zero presentation rank. Zbl 0961.20028
Dalla Volta, Francesca; Lucchini, Andrea
6
1999
\((2,3,k)\)-generated groups of large rank. Zbl 0944.20030
Lucchini, Andrea
5
1999
Finite groups that need more generators than any proper quotient. Zbl 0902.20013
Dalla Volta, Francesca; Lucchini, Andrea
19
1998
On the order of transitive permutation groups with cyclic point-stabilizer. Zbl 0940.20006
Lucchini, Andrea
6
1998
Generating minimally transitive groups. Zbl 0897.20002
Lucchini, Andrea
3
1998
On the conjugacy problem for Carter subgroups. Zbl 0895.20025
Dalla Volta, F.; Lucchini, A.; Tamburini, M. C.
3
1998
Enumerating transitive finite permutation groups. Zbl 0940.20003
Lucchini, Andrea
2
1998
Generators for finite groups with a unique minimal normal subgroup. Zbl 0895.20027
Lucchini, Andrea; Menegazzo, Federico
22
1997
On representing finite lattices as intervals in subgroup lattices of finite groups. Zbl 0886.20012
Baddeley, Robert; Lucchini, Andrea
14
1997
Generating wreath products and their augmentation ideals. Zbl 0898.20018
Lucchini, Andrea
5
1997
A bound on the presentation rank of a finite group. Zbl 0884.20013
Lucchini, Andrea
3
1997
Minimal number of generators and composition length of socle in finite groups. Zbl 0852.20018
Dalla Volta, Francesca; Lucchini, Andrea
2
1996
Generation of almost simple groups. Zbl 0839.20021
Dalla Volta, Francesca; Lucchini, Andrea
20
1995
Generators and minimal normal subgroups. Zbl 0831.20031
Lucchini, Andrea
11
1995
...and 10 more Documents
all top 5

Cited by 230 Authors

91 Lucchini, Andrea
14 Detomi, Eloisa
11 Morigi, Marta
9 Burness, Timothy C.
9 Crestani, Eleonora
8 Menegazzo, Federico
8 Shumyatsky, Pavel
7 Moscatiello, Mariapia
7 Spiga, Pablo
7 Tamburini, Maria Chiara
6 Aschbacher, Michael George
6 Garonzi, Martino
6 Patassini, Massimiliano
6 Roney-Dougal, Colva M.
6 Shareshian, John
6 Tracey, Gareth M.
5 Damian, Erika
5 Guralnick, Robert Michael
5 Harper, Scott
4 Acciarri, Cristina
4 Cameron, Peter Jephson
4 Dixon, Martyn Russell
4 Maróti, Attila
4 Pyber, László
4 Xu, Feng
3 Klopsch, Benjamin
3 Kurdachenko, Leonid Andriĭovych
3 Lubotzky, Alexander
3 Marion, Claude
3 Shalev, Aner
3 Stocka, Agnieszka
3 Vsemirnov, Maxim
3 Woodroofe, Russ
3 Woryna, Adam
2 Araújo, João
2 Ballester-Bolinches, Adolfo
2 Conder, Marston D. E.
2 Cossey, John
2 Covato, Elisa
2 Dalla Volta, Francesca
2 Di Martino, Lino
2 Dung, Duong Hoang
2 Eick, Bettina
2 Facchini, Alberto
2 Fumagalli, Francesco
2 Gagola, Stephen M. III
2 Herzog, Marcel
2 Jaikin-Zapirain, Andrei
2 Jiménez Seral, Paz
2 Kassabov, Martin
2 Krempa, Jan
2 Liebeck, Martin Walter
2 Maslova, Natal’ya Vladimirovna
2 Meng, Hangyang
2 Morini, Fiorenza
2 Otal, Javier
2 Praeger, Cheryl Elisabeth
2 Quick, Martyn
2 Segal, Daniel
2 Vannacci, Matteo
2 Vasil’ev, Andreĭ Viktorovich
2 Vasilyev, V. L.
2 Vdovin, Evgeniĭ Petrovich
2 Vsemirnov, M. A.
2 Werner, Nicholas J.
2 Zalesski, Alexandre Efimovich
1 Abért, Miklós
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 Ballester, Bolinches Adolfo
1 Barnea, Yiftach
1 Bastos, Raimundo A.
1 Bauer, Thorsten
1 Bentz, Wolfram
1 Besche, Hans Ulrich
1 Blau, Harvey I.
1 Bondarenko, Ievgen V.
1 Borovik, Alexandre Vasilievich
1 Bors, Alexander
1 Branco, Mário J. J.
1 Bunn, Roger
1 Cai, Merrick
1 Carlson, Jon Frederick
1 Castella, Dominique
1 Chen, Gang
1 Churikov, Dmitriy Vladimirovich
1 Colombo, Valentina
1 Costantini, Mauro
1 Cox, Charles Garnet
1 De Franceschi, Giovanni
1 De Las Heras, Iker
1 De Melo, Emerson
1 de Souza Lima, Aline
...and 130 more Authors
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Cited in 69 Serials

47 Journal of Algebra
22 Communications in Algebra
19 Israel Journal of Mathematics
18 Journal of Group Theory
17 Archiv der Mathematik
8 Rendiconti del Seminario Matematico della Università di Padova
7 Transactions of the American Mathematical Society
6 Journal of Combinatorial Theory. Series A
6 Journal of Algebraic Combinatorics
6 Journal of the Australian Mathematical Society
5 Bulletin of the Australian Mathematical Society
5 Advances in Mathematics
5 Journal of Pure and Applied Algebra
5 Proceedings of the American Mathematical Society
5 International Journal of Group Theory
4 Monatshefte für Mathematik
4 Forum of Mathematics, Sigma
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Mathematische Zeitschrift
3 Forum Mathematicum
3 Journal of Mathematical Sciences (New York)
3 Journal of Algebra and its Applications
2 Discrete Mathematics
2 Geometriae Dedicata
2 Glasgow Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Ricerche di Matematica
2 Siberian Mathematical Journal
2 Algebra Colloquium
2 Annals of Mathematics. Second Series
2 LMS Journal of Computation and Mathematics
2 Ars Mathematica Contemporanea
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Algebra and Logic
1 Algebra Universalis
1 Bulletin of the London Mathematical Society
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series B
1 Journal für die Reine und Angewandte Mathematik
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Results in Mathematics
1 Semigroup Forum
1 Journal of the American Mathematical Society
1 Designs, Codes and Cryptography
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 The Australasian Journal of Combinatorics
1 St. Petersburg Mathematical Journal
1 The Electronic Journal of Combinatorics
1 Doklady Mathematics
1 Algebras and Representation Theory
1 Journal of the European Mathematical Society (JEMS)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Algebra and Discrete Mathematics
1 AKCE International Journal of Graphs and Combinatorics
1 Proceedings of the Steklov Institute of Mathematics
1 Groups, Geometry, and Dynamics
1 Involve
1 Groups, Complexity, Cryptology
1 Palestine Journal of Mathematics
1 Algebraic Combinatorics

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