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2014 A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group
Na Tang, Xianhua Li
J. Appl. Math. 2014: 1-4 (2014). DOI: 10.1155/2014/921804

Abstract

Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that KM and G=MH, we called the order of H/K the normal index of M and MH/K a section of M in G. Using the concepts of normal index and c-section, we obtain some new characterizations of p-solvable, 2-supersolvable, and p-nilpotent.

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Na Tang. Xianhua Li. "A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group." J. Appl. Math. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/921804

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131976
MathSciNet: MR3246438
Digital Object Identifier: 10.1155/2014/921804

Rights: Copyright © 2014 Hindawi

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