A note on finite groups in which every non-nilpotent maximal subgroup has prime index
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Published:2023-04-11
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Shi Jiangtao1ORCID,
Liu Wenjing1,
Tian Yunfeng1
Affiliation:
1. School of Mathematics and Information Sciences, Yantai University, Yantai 264005, P. R. China
Abstract
Let [Formula: see text] be a finite group in which every non-nilpotent maximal subgroup has prime index and [Formula: see text] the largest prime divisor of [Formula: see text], without using the solvability of [Formula: see text] we prove that either the Sylow [Formula: see text]-subgroup of [Formula: see text] is normal or [Formula: see text] has a normal [Formula: see text]-complement.
Funder
NSFC
Shandong Provincial Natural Science Foundation, China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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