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

被引：12
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.
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页码：429 / 440
页数：12
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