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 finit...
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Format: | Article |
Language: | English |
Published: |
University of Isfahan
2017-06-01
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Series: | International Journal of Group Theory |
Subjects: | |
Online Access: | http://ijgt.ui.ac.ir/article_12396_c6588acf55ed792ee5a449031ab6b69a.pdf |
Summary: | 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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ISSN: | 2251-7650 2251-7669 |