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ON THE PROPORTION OF DERANGEMENTS IN COSETS OF PRIMITIVE
PERMUTATION GROUPS
by
Andrei Bogdan Pavelescu
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(MATHEMATICS)
May 2012
Copyright 2012 Andrei Bogdan Pavelescu
Object Description
| Title | On the proportion of derangements in cosets of primitive permutation groups |
| Author | Pavelescu, Andrei Bogdan |
| Author email | pavelesc@usc.edu;kosovel@yahoo.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mathematics |
| School | College of Letters, Arts And Sciences |
| Date defended/completed | 2012-03-19 |
| Date submitted | 2012-04-12 |
| Date approved | 2012-04-12 |
| Restricted until | 2012-04-12 |
| Date published | 2012-04-12 |
| Advisor (committee chair) | Guralnick, Robert M. |
| Advisor (committee member) |
Friedlander, Eric M. Montgomery, Susan Pilch, Krzysztof |
| Abstract | Motivated by questions arising in connection with branched coverings of connected smooth projective curves over finite fields, I am studying the proportion of fixed point free elements (derangements) in cosets of normal subgroups of primitive permutations groups. Using the Aschbacher–O’Nan–Scott theorem for primitive groups to partition the problem, I provide complete answers for affine groups and groups which contain a regular normal nonabelian subgroup. |
| Keyword | permutation groups; fixed point free elements; arithmetic monodromy; derangements; primitive |
| 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 |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Rights | Pavelescu, Andrei Bogdan |
| Access conditions | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@usc.edu |
| Archival file | uscthesesreloadpub_Volume1/etd-PavelescuA-601.pdf |
Description
| Title | Page 1 |
| Full text | ON THE PROPORTION OF DERANGEMENTS IN COSETS OF PRIMITIVE PERMUTATION GROUPS by Andrei Bogdan Pavelescu A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MATHEMATICS) May 2012 Copyright 2012 Andrei Bogdan Pavelescu |
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