Non-subnormal subgroups of groups

被引：8
|
作者：
Zarrin, Mohammad [1 ]
机构：
[1] Univ Kurdistan, Dept Math, Sanandaj, Iran
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2013年 / 217卷 / 05期
关键词：
3-ENGEL GROUPS;
D O I：
10.1016/j.jpaa.2012.09.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
According to Mohres's Theorem an arbitrary group whose proper subgroups are all subnormal (or a group without non-subnormal proper subgroups) is solvable. In this paper we generalize Mohres's Theorem, by proving that every group with at most 56 non-subnormal subgroups is solvable. Also we show that the derived length of a solvable group with a finite number k of non-n-subnormal subgroups is bounded in terms of n and k. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：851 / 853
页数：3
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