COVERING MONOLITHIC GROUPS WITH PROPER SUBGROUPS

被引：0
作者：
Garonzi, Martino [1 ]
机构：
[1] Univ Padua, Dept Math, Padua, Italy
来源：
INTERNATIONAL JOURNAL OF GROUP THEORY | 2013年 / 2卷 / 01期
关键词：
Covers; Primitive groups; Monolithic groups;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a finite non -cyclic group G, call Q(G) the smallest number of proper subgroups of G needed to cover G. Lucchini and Detomi conjectured that if a nonabelian group G is such that Q(G) < a(G/N) for every non -trivial normal subgroup N of G then G is monolithic, meaning that it admits a unique minimal normal subgroup. In this paper we show how this conjecture can be attacked by the direct study of monolithic groups.
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页码：131 / 144
页数：14
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