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On prime power elements of GLd(q) acting irreducibly on large subspaces

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Title	On prime power elements of GLd(q) acting irreducibly on large subspaces
Author	DiMuro, Joseph
Author email	dimuro@usc.edu
Degree	Doctor of Philosophy
Document type	Dissertation
Degree program	Mathematics
School	College of Letters, Arts and Sciences
Date defended/completed	2007-08-31
Date submitted	2007
Restricted until	Unrestricted
Date published	2007-11-19
Advisor (committee chair)	Guralnick, Robert
Advisor (committee member)	Bonahon, Francis Kamienny, Sheldon Geisser, Thomas Golomb, Solomon
Abstract	This paper extends the results given in [GPPS]. We classify all groups G less than or equal to GLd(q) for which there is some semisimple element x set G of prime power order which acts faithfully and irreducibly on a subspace of dimension at least [d/3].
Keyword	linear groups; classifying groups; large subspaces
Language	English
Part of collection	University of Southern California dissertations and theses
Publisher (of the original version)	University of Southern California
Place of publication (of the original version)	Los Angeles, California
Publisher (of the digital version)	University of Southern California. Libraries
Type	texts
Legacy record ID	usctheses-m933
Rights	DiMuro, Joseph
Repository name	Libraries, University of Southern California
Repository address	Los Angeles, California
Repository email	http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/
Filename	etd-DiMuro-20071119
Archival file	uscthesesreloadpub_Volume62/etd-DiMuro-20071119.pdf

Title	Page 1
Full text	ON PRIME POWER ELEMENTS OF GLd(q) ACTING IRREDUCIBLY ON LARGE SUBSPACES by Joseph DiMuro A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MATHEMATICS) December 2007 Copyright 2007 Joseph DiMuro

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