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Title:On the nilpotent injectors of the general linear groups
Author(s):Sheu, Tsung-Luen
Doctoral Committee Chair(s):Rotman, Joseph J.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:1989
Type:Text
Language:English
URI:http://hdl.handle.net/2142/21252
Rights Information:Copyright 1989 Sheu, Tsung-Luen
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9011019
OCLC Identifier:(UMI)AAI9011019


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