弱补子群对有限群结构的影响

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI:10.12988/ija.2022.91729

Yuxuan Zhang

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引用次数: 0

摘要

设G是一个有限群。如果存在G的适当子群M使G = LM，则称G的子群L是G中的弱补群。本文的重点是在假定某些主子群是弱补的情况下，确定有限群的超可解性和p -零幂。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The influence of weakly-supplemented subgroups on the structure of finite groups

Let G be a ﬁnite group. A subgroup L of G is said to be weakly-supplemented in G if there exists a proper subgroup M of G such that G = LM . The key of this paper is to determine the supersolvability and p -nilpotency of ﬁnite groups under assumption that some primary subgroups are weakly-supplemented.

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.