Finite groups with seminormal or abnormal Sylow subgroups

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2020-09-01 DOI:10.22108/IJGT.2018.112602.1500

V. Monakhov, I. Sokhor

引用次数: 0

Abstract

‎Let $G$ be a finite group in which every Sylow subgroup‎ ‎is seminormal or abnormal‎. ‎We prove that $G$ has a Sylow tower‎. ‎We establish that if a group has a maximal subgroup ‎‎‎‎with Sylow subgroups under the same conditions‎, ‎then this group is soluble‎.

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具有半正规或异常Sylow子群的有限群

设$G$是一个有限群，其中每个Sylow子群都是半正规或异常的。我们证明$G$有一个Sylow塔。我们证明了在相同的条件下，如果一个群有一个具有Sylow子群的极大子群，那么这个群是可解的。

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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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.