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

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