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Title:Normal Subgroups of Odd Order Monomial P(a)q(b)-Groups
Author(s):Loukaki, Maria I.
Doctoral Committee Chair(s):Dade, Everett C.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:A finite group G is called monomial if every irreducible character of G is induced from a linear character of some subgroup of G. One of the main questions regarding monomial groups is whether or not a normal subgroup N of a monomial group G is itself monomial. In the case that G is a group of even order, it has been proved (Dade, van der Waall) that N need not be monomial. Here we show that, if G is a monomial group of order paq b, where p and q are distinct odd primes, then any normal subgroup N of G is also monomial.
Issue Date:2001
Type:Text
Language:English
Description:360 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.
URI:http://hdl.handle.net/2142/86785
Other Identifier(s):(MiAaPQ)AAI3023129
Date Available in IDEALS:2015-09-28
Date Deposited:2001


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