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Dissertation Draft 09 DS.pdf (361.45 KB)
ETD Abstract Container
Abstract Header
Character Degree Graphs of Almost Simple Groups
Author Info
Montanaro, William M, Jr.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504
Abstract Details
Year and Degree
2014, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
Let G be a finite group and let cd(G) be the set of irreducible character degrees of G. The character degree graph Δ(G) of G is the graph whose set of vertices is the set of primes dividing an element of cd(G), with an edge between p and q if pq divides some element of cd(G). We say G is almost simple provided S ≤ G ≤ Aut(S) for some simple group S, which is the socle of G, Soc(G). Here we determine the character degree graphs of almost simple groups whose socle is one of PSL
3
(q), PSU
3
(q
2
), or Sz(q). We also discuss Δ(G) for almost simple G with other socles.
Committee
Donald White (Advisor)
Stephen Gagola (Committee Member)
Mark Lewis (Committee Member)
Pages
65 p.
Subject Headings
Mathematics
Keywords
Algebra
;
Character Theory
;
Simple Groups
;
Almost Simple Groups
;
Group Theory
;
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Refworks
EndNote
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Citations
Montanaro, Jr., W. M. (2014).
Character Degree Graphs of Almost Simple Groups
[Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504
APA Style (7th edition)
Montanaro, Jr., William.
Character Degree Graphs of Almost Simple Groups.
2014. Kent State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504.
MLA Style (8th edition)
Montanaro, Jr., William. "Character Degree Graphs of Almost Simple Groups." Doctoral dissertation, Kent State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504
Chicago Manual of Style (17th edition)
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Document number:
kent1398345504
Download Count:
796
Copyright Info
© 2014, some rights reserved.
Character Degree Graphs of Almost Simple Groups by William M Montanaro Jr. is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.