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HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES
by
Marc Keilberg
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)
August 2010
Copyright 2010 Marc Keilberg
Object Description
| Title | Higher indicators for some groups and their doubles |
| Author | Keilberg, Marc Daniel |
| Author email | keilberg@usc.edu; zibadawa@yahoo.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mathematics |
| School | College of Letters, Arts and Sciences |
| Date defended/completed | 2010-05-10 |
| Date submitted | 2010 |
| Restricted until | Unrestricted |
| Date published | 2010-08-06 |
| Advisor (committee chair) | Montgomery, Susan |
| Advisor (committee member) |
Pilch, Krzysztof Guralnick, Robert |
| Abstract | In this paper we explicitly determine all indicators for groups isomorphic to the semidirect product of two cyclic groups by an automorphism of prime order, as well as the generalized quaternion groups. We then compute the indicators for the Drinfel'd doubles of these groups. This first family of groups include the dihedral groups, the non-abelian groups of order pq, and the semidihedral groups. We find that the indicators are all integers, with negative integers being possible in the first family only under certain specific conditions. |
| Keyword | Hopf algebras; indicators; groups; invariants; Frobenius-Schur |
| 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-m3327 |
| Rights | Keilberg, Marc Daniel |
| 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-Keilberg-3887 |
| Archival file | uscthesesreloadpub_Volume29/etd-Keilberg-3887.pdf |
Description
| Title | Page 1 |
| Full text | HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES by Marc Keilberg 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) August 2010 Copyright 2010 Marc Keilberg |
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