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Title: Retrieving information about a group from its character table
Author: Mattarei, Sandro
ISNI:       0000 0001 3621 3671
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1992
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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).
Supervisor: Not available Sponsor: Consiglio nazionale delle ricerche (Italy)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics