University of Illinois Urbana-Champaign

On the nilpotent injectors of the general linear groups

Sheu, Tsung-Luen

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https://hdl.handle.net/2142/21252

Description

Title
On the nilpotent injectors of the general linear groups
Author(s)
Sheu, Tsung-Luen
Issue Date
1989
Doctoral Committee Chair(s)
Rotman, Joseph J.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
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.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/21252
Copyright and License Information
Copyright 1989 Sheu, Tsung-Luen

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