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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The normal index of a maximal subgroup of a finite group
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by N. P. Mukherjee and Prabir Bhattacharya PDF
Proc. Amer. Math. Soc. 106 (1989), 25-32 Request permission

Abstract:

For a maximal subgroup $M$ of a finite group $G$, the normal index $\eta (G:M)$ is defined to be the order of a chief factor $H/K$ where $H$ is minimal in the set of supplements of $M$ in $G$. We obtain several results on the normal index of maximal subgroups $M$ of composite index in $G$ with ${[G:M]_p} = 1$ which imply $G$ to be solvable, supersolvable.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 25-32
  • MSC: Primary 20E28; Secondary 20D10
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0952319-9
  • MathSciNet review: 952319