Groups with all proper subgroups nilpotent-by-finite rank

被引：0

作者：

M. R. Dixon

M. J. Evans

H. Smith

机构：

[1] Department of Mathematics,

[2] University of Alabama,undefined

[3] Tuscaloosa,undefined

[4] AL. 35487-0350,undefined

[5] U.S.A.,undefined

[6] Department of Mathematics,undefined

[7] Bucknell University,undefined

[8] Lewisburg,undefined

[9] PA. 17837,undefined

[10] U.S.A.,undefined

来源：

Archiv der Mathematik | 2000年 / 75卷

关键词：

Simple Group; Proper Subgroup; Simple Image; Infinite Simple Group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper the authors consider the class of groups in which every proper subgroup is nilpotent-by-finite rank. There exist infinite simple groups with this property. Among the results proved is the theorem that a locally soluble-by-finite such group that is not a perfect p-group is itself nilpotent-by-finite rank, provided the group has no infinite simple images.

引用

页码：81 / 91

页数：10