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A sporadic simple group of B. Fischer of order 64, 561, 751, 654, 400
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Hunt, David Christopher (1970) A sporadic simple group of B. Fischer of order 64, 561, 751, 654, 400. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1733001~S1
Abstract
In this thesis we study a sporadic simple group M ( 22 ) of order 64,561,751, 6 54,400 = 2 17 .39.5 2.7. .1.13 . defined by 13. Fischer [3].
In chapter I most of the material needed from other sources is presented. For example, in §1 we outline results from the paper "Finite groups generated by 3-trallspositions" recently written by B. Fischer [3]. *
In chapter II we deal with the calculation of the character tables of PSU(5,2), P8U(6,2), PSΩ+(6,3) PSΩ(7,3) and M(22).
In chapter III a characterization of M(22) by the structure of the centralizer of' one of' its involutions is given. The involution is not the involution central in the Sylow 2-subgroup but is a 3-transposition.
| Item Type: | Thesis (PhD) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Finite groups | ||||
| Official Date: | 1970 | ||||
| Dates: |
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| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Green, J. A.(James Alexander) | ||||
| Sponsors: | Association of Commonwealth Universities | ||||
| Extent: | 128 leaves | ||||
| Language: | eng |
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