The normal index of a maximal subgroup of a finite group

Authors:
N. P. Mukherjee and Prabir Bhattacharya

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

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Abstract | References | Similar Articles | Additional Information

Abstract: For a maximal subgroup of a finite group , the *normal index* is defined to be the order of a chief factor where is minimal in the set of supplements of in . We obtain several results on the normal index of maximal subgroups of composite index in with which imply to be solvable, supersolvable.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1989-0952319-9

Keywords:
Solvable,
supersolvable,
-solvable

Article copyright:
© Copyright 1989
American Mathematical Society