Abelian quasinormal subgroups of finite p-groups

被引:1
|
作者
Cossey, John [2 ]
Stonehewer, Stewart [1 ]
机构
[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
[2] Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
基金
英国工程与自然科学研究理事会;
关键词
Quasinormal subgroup; p-group; CYCLIC PERMUTABLE SUBGROUP;
D O I
10.1016/j.jalgebra.2010.03.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
If G = AX is a finite p-group, with A an abelian quasinormal subgroup and X a cyclic subgroup, then we find two composition series of G passing through A, all the members of which are quasinormal subgroups of G. (C) 20W Elsevier Inc. All rights reserved.
引用
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页码:113 / 121
页数:9
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