A Note on the Normal Index and the c -Section of Maximal Subgroups of a Finite Group

Na Tang and Xianhua Li

Journal of Applied Mathematics, 2014, vol. 2014, 1-4

Abstract:

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

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:921804

DOI: 10.1155/2014/921804

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