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Retrieving information about a group from its character table
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Mattarei, Sandro (1992) Retrieving information about a group from its character table. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3227920~S15
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 (PhD) | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Solvable groups, Finite groups | ||||
| Official Date: | July 1992 | ||||
| Dates: |
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| 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| Publication Status: | Unpublished | ||||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: | |||||
| Extent: | 138 leaves | ||||
| Language: | eng |
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