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

Autor:	Cui Zhang
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Non-abelian simple group the index of maximal subgroup solvable group Mathematics QA1-939
Zdroj:	International Journal of Group Theory, Vol 6, Iss 2, Pp 17-20 (2017)
Druh dokumentu:	article
ISSN:	2251-7650 2251-7669
DOI:	10.22108/ijgt.2017.12396
Popis:	‎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.
Databáze:	Directory of Open Access Journals
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