论由次模子群因子化的有限群

IF 1.1 3区 数学 Q1 MATHEMATICS
Victor S. Monakhov, Irina L. Sokhor
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引用次数: 0

摘要

如果存在一个子群链 \(H=H_0\le \ldots \le H_i\le H_{i+1}\le \ldots \le H_n=G/),使得 \(H_i\) 是 \(H_{i+1}\) 的模子群,且每 i 个都是。我们指出了描述由超可溶亚模块子群因式分解的有限群的一般方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Finite Groups Factorised by Submodular Subgroups

A subgroup H of a finite group G is submodular in G if there is a subgroup chain \(H=H_0\le \ldots \le H_i\le H_{i+1}\le \ldots \le H_n=G\) such that \(H_i\) is a modular subgroup of \(H_{i+1}\) for every i. We investigate finite factorised groups with submodular primary (cyclic primary) subgroups in factors. We indicate a general approach to the description of finite groups factorised by supersolvable submodular subgroups.

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来源期刊
Results in Mathematics
Results in Mathematics 数学-数学
CiteScore
1.90
自引率
4.50%
发文量
198
审稿时长
6-12 weeks
期刊介绍: Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.
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