The probabilistic zeta function of finite simple groups

被引：13

作者：

Damian, Erika ^{[1
]}

Lucchini, Andrea ^{[1
]}

机构：

[1] Univ Brescia, Dipartmento Matemat, I-25133 Brescia, Italy

来源：

JOURNAL OF ALGEBRA | 2007年 / 313卷 / 02期

关键词：

probabilistic zeta function; finite simple groups;

D O I：

10.1016/j.jalgebra.2007.02.055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group; there exists a uniquely determined Dirichlet polynomial P-G(s) such that if t is an element of K then PG W gives the probability of generating G with t randomly chosen elements. We show that it may be recognized from the knowledge of PG (s) whether G/ Frat G is a simple group. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：957 / 971

页数：15

共 50 条

[11] Non-simple localizations of finite simple groups
Rodriguez, Jose L.
Scherer, Jerome
Viruel, Antonio
JOURNAL OF ALGEBRA, 2006, 305 (02) : 765 - 774
[12] Word maps in finite simple groups
Cocke, William
Ho, Meng-Che
ARCHIV DER MATHEMATIK, 2019, 113 (06) : 565 - 570
[13] Commuting involutions in finite simple groups
Guralnick, Robert
Robinson, Geoffrey R.
EUROPEAN JOURNAL OF MATHEMATICS, 2025, 11 (01)
[14] Word maps in finite simple groups
William Cocke
Meng-Che Ho
Archiv der Mathematik, 2019, 113 : 565 - 570
[15] The diameter of products of finite simple groups
Dona, Daniele
ARS MATHEMATICA CONTEMPORANEA, 2022, 22 (04)
[16] The involution width of finite simple groups
Malcolm, Alexander J.
JOURNAL OF ALGEBRA, 2018, 493 : 297 - 340
[17] SPORADIC COMPOSITION FACTORS OF FINITE GROUPS ISOSPECTRAL TO SIMPLE GROUPS
Staroletov, A. M.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2011, 8 : 268 - 272
[18] Exponent preserving subgroups of the finite simple groups
Pachera, Andrea
COMMUNICATIONS IN ALGEBRA, 2017, 45 (06) : 2494 - 2504
[19] Automorphism group orbits on finite simple groups
Jafari, Leyli
Kohl, Stefan
O'Brien, E. A.
COMMUNICATIONS IN ALGEBRA, 2021, 49 (08) : 3294 - 3300
[20] Words and mixing times in finite simple groups
Schul, Gili
Shalev, Aner
GROUPS GEOMETRY AND DYNAMICS, 2011, 5 (02) : 509 - 527

← 1 2 3 4 5 →