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, issue 1

Abstract: Let M be a maximal subgroup of finite group G. For each chief factor H/K of G such that K ≤ M and G = MH, we called the order of H/K the normal index of M and (M∩H)/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.

Date: 2014
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https://doi.org/10.1155/2014/921804

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:921804

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