Minimal generating sets of maximal size in finite monolithic groups

被引：6

作者：

Lucchini, Andrea ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

ARCHIV DER MATHEMATIK | 2013年 / 101卷 / 05期

关键词：

Monolithic groups; Independent generating set;

D O I：

10.1007/s00013-013-0583-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denote by m(G) the largest size of a minimal generating set of a finite group G. We want to estimate the difference m(G) - m(G/N) in the case when N is the unique minimal normal subgroup of G.

引用

页码：401 / 410

页数：10

共 50 条

[41] The generating graph of some monolithic groups
Crestani, Eleonora
Lucchini, Andrea
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2012, 119 (03) : 615 - 626
[42] ON MAXIMAL, MINIMAL OPEN AND CLOSED SETS
Mukharjee, Ajoy
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 30 (03): : 277 - 282
[43] The maximum cardinality of minimal inversion complete sets in finite reflection groups
Malvenuto, Claudia
Frajria, Pierluigi Moeseneder
Orsina, Luigi
Papi, Paolo
JOURNAL OF ALGEBRA, 2015, 424 : 330 - 356
[44] Walks on generating sets of groups
Diaconis, P
Saloff-Coste, L
INVENTIONES MATHEMATICAE, 1998, 134 (02) : 251 - 299
[45] Maximal and minimal semilattices on ordered sets
McElwee, B
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2001, 18 (02): : 137 - 149
[46] On maximal, minimal and mean open sets
Kallol Bhandhu Bagchi
Ajoy Mukharjee
Afrika Matematika, 2019, 30 : 291 - 296
[47] MINIMAL AND MAXIMAL OPEN SETS IN GITS
Kumar, G. K. Mathan
Annam, G. Hari Siva
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2022, 21 (07): : 4097 - 4109
[48] Minimal and maximal matrix convex sets
Passer, Benjamin
Shalit, Orr Moshe
Solel, Baruch
JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 274 (11) : 3197 - 3253
[49] On maximal, minimal and mean open sets
Bagchi, Kallol Bhandhu
Mukharjee, Ajoy
AFRIKA MATEMATIKA, 2019, 30 (1-2) : 291 - 296
[50] Maximal and Minimal Semilattices on Ordered Sets
Brett McElwee
Order, 2001, 18 : 137 - 149

← 1 2 3 4 5 →