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Author ID: lucchini.andrea Recent zbMATH articles by "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

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

Publications by Year

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 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
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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

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