Finite p–Groups Whose Abelian Subgroups Have a Trivial Intersection

被引：2
作者：
Shi Rong Li*
Xiu Yun Guo**
机构：
[1] Guangxi University,Department of Mathematics
[2] Shanghai University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
–groups; Abelian subgroups; TI–subgroups; 20D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A subgroup H of a finite group G is called a TI–subgroup if H ∩ Hx = 1 or H for all x ∈ G. In this paper, a complete classification for finite p–groups, in which all abelian subgroups are TI–subgroups, is given.
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Walls undefined(1979)undefined Archiv der Mathematik 32 1-undefined
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[5]  
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