The normal index of a finite group

N. P. Mukherjee and Prabir Bhattacharya

Vol. 132 (1988), No. 1, 143–149

DOI: 10.2140/pjm.1988.132.143

Abstract

For a maximal subgroup M of a finite group G the normal index of M is the order of a chief factor H∕K where H is minimal in the set of supplements of M in G. We obtain results about the normal index of M when M has composite index in G.

Mathematical Subject Classification 2000

Primary: 20D25

Secondary: 20E28

Milestones

Received: 15 October 1986

Revised: 24 March 1987

Published: 1 March 1988