Some explicit bounds in groups with a finite number of non-normal subgroups

被引：5
|
作者：
LaHaye, R
机构：
[1] University of Alberta, Edmonton
来源：
COMMUNICATIONS IN ALGEBRA | 1997年 / 25卷 / 12期
关键词：
D O I：
10.1080/00927879708826088
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The number of conjugacy classes of non-normal subgroups is an invariant of a group G denoted by v(G). In this paper explicit upper bounds for the order of the commutator subgroup [G'] and for the index of the centre in G, [G : Z(G)] are given for a group G with only a finite number of non-normal subgroups. The bounds provided are functions of v(G) and the primes appearing as orders of elements of G.
引用
收藏
页码：3803 / 3821
页数：19
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