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.References
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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