Character Degree Graphs of Almost Simple Groups

Character Degree Graphs of Almost Simple Groups

Bibliographic Details
Main Author: Montanaro, William M., Jr.
Language:English
Published: Kent State University / OhioLINK 2014
Subjects:
Mathematics
Algebra
Character Theory
Simple Groups
Almost Simple Groups
Group Theory
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504
id ndltd-OhioLink-oai-etd.ohiolink.edu-kent1398345504
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-kent13983455042021-08-03T06:24:19Z Character Degree Graphs of Almost Simple Groups Montanaro, William M., Jr. Mathematics Algebra Character Theory Simple Groups Almost Simple Groups Group Theory 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<sub>3</sub>(q), PSU<sub>3</sub>(q<sup>2</sup>), or Sz(q). We also discuss Δ(G) for almost simple G with other socles. 2014-04-28 English text Kent State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504 http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Algebra
Character Theory
Simple Groups
Almost Simple Groups
Group Theory
spellingShingle Mathematics
Algebra
Character Theory
Simple Groups
Almost Simple Groups
Group Theory
Montanaro, William M., Jr.
Character Degree Graphs of Almost Simple Groups
author Montanaro, William M., Jr.
author_facet Montanaro, William M., Jr.
author_sort Montanaro, William M., Jr.
title Character Degree Graphs of Almost Simple Groups
title_short Character Degree Graphs of Almost Simple Groups
title_full Character Degree Graphs of Almost Simple Groups
title_fullStr Character Degree Graphs of Almost Simple Groups
title_full_unstemmed Character Degree Graphs of Almost Simple Groups
title_sort character degree graphs of almost simple groups
publisher Kent State University / OhioLINK
publishDate 2014
url http://rave.ohiolink.edu/etdc/view?acc_num=kent1398345504
work_keys_str_mv AT montanarowilliammjr characterdegreegraphsofalmostsimplegroups
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