Mattarei, Sandro (1992) Retrieving information about a group from its character table. PhD thesis, University of Warwick.

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Abstract

This thesis concerns character tables of finite soluble groups. In particular, our main objective is that of showing that the derived length of a soluble group G is not determined by the character table of G. In fact, in Chapters 5 and 6 we shall construct pairs (G, H) of groups which have identical character tables but different derived lengths, namely 2 and 3. A more general result will be proved in Chapter 7, namely that for any natural number n > 2, there exist pairs (G, H) of groups with identical character tables, and derived lengths n and n + 1 respectively. Two by-products of our investigation are a method for comparing character tables in special situations (in Chapter 4), and a description of the character tables of wreath products (in Chapter 7).

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Solvable groups, Finite groups
Official Date:	July 1992
Dates:	Date Event July 1992 UNSPECIFIED
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Hawkes, Trevor O., 1936-
Sponsors:	Consiglio nazionale delle ricerche (Italy)
Format of File:	pdf
Extent:	138 leaves
Language:	eng

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