On the probability of generating finite groups with a unique minimal normal subgroup

被引：11

作者：

Lucchini, A ^{[1
]}

Morini, F ^{[1
]}

机构：

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2002年 / 203卷 / 02期

关键词：

D O I：

10.2140/pjm.2002.203.429

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that a finite group G has a unique minimal normal subgroup, say N. We prove that if the order of N is large enough then the following is true: If d randomly chosen elements generate G modulo N, then these elements almost certainly generate G itself.

引用

页码：429 / 440

页数：12

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