关于一些极大子群的标记为素数的有限群的一个注记

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-06-01 DOI:10.22108/IJGT.2017.12396

Cui Zhang

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引用次数: 0

摘要

‎[注]中的定理12‎ ‎$p$-幂零性与有限群的可解性‎, ‎J‎. ‎代数321‎ ‎（2009）1555-1560。]在‎ ‎哪些极大子群具有素数索引‎. ‎在本附注中，我们‎ ‎证明了这个结果可以用来证明有限群‎ ‎其中每个非幂零极大子群都有素数索引‎ ‎可解的‎.

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A note on finite groups with the indice of some maximal subgroups being primes

‎The Theorem 12 in [A note on‎ ‎$p$-nilpotence and solvability of finite groups‎, ‎J‎. ‎Algebra 321‎ ‎(2009) 1555--1560.] investigated the non-abelian simple groups in‎ ‎which some maximal subgroups have primes indices‎. ‎In this note we‎ ‎show that this result can be applied to prove that the finite groups‎ ‎in which every non-nilpotent maximal subgroup has prime index are‎ ‎solvable‎.

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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.