On normal subgroups and simple modules with a given vertex in a p-solvable group

A. Laradji

doi:10.1016/j.jalgebra.2006.05.018

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On normal subgroups and simple modules with a given vertex in a p-solvable group

Journal article

Peer reviewed

On normal subgroups and simple modules with a given vertex in a p-solvable group

A. Laradji

Journal of algebra, Vol.308(2), pp.484-492

15/02/2007

DOI: https://doi.org/10.1016/j.jalgebra.2006.05.018

Abstract

[formula omitted]-Partial characters

p-Solvable groups

Vertices of simple modules

π-Separable groups

Let N be a normal subgroup of a p-solvable group G and let M be a simple FN-module, where F is an algebraically closed field of characteristic p. Let Q be any p-subgroup of G. In this paper, we count the number of simple FG-modules lying over M and having Q as a vertex.

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Title: On normal subgroups and simple modules with a given vertex in a p-solvable group
Creators - without role: A. Laradji - King Saud University
Publication Details: Journal of algebra, Vol.308(2), pp.484-492
Publisher: Elsevier Inc
Identifiers: 9946494508331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article