On the nilpotent injectors of the general linear groups

A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Sheu, Tsung-Luen

Contributors dc:contributor

• Rotman, Joseph J.

• Mathematics

Statement dc:rights

• Copyright 1989 Sheu, Tsung-Luen

Language dc:language

eng

Identifier

AAI9011019
(UMI)AAI9011019

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21252