Murray, John (2001) Sylow Intersections, Double Cosets, and 2-Blocks. Communications in Algebra, 29 (8). pp. 3609-3619. ISSN 1532-4125
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Abstract
Throughout G will be a finite group and F will be a finite field of
characteristic p > 0, although we are mainly interested in the case p = 2. For
convenience we assume that F is a splitting field for all subgroups of G. Let
Z(p) denote the localization of the integers Z at the prime ideal pZ.
If x ∈ Z(p), then x* will denote its image modulo the unique maximal ideal
of Z(p). We regard x* as lying in the prime field GF(p) of F.
Item Type: | Article |
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Keywords: | Sylow Intersections; Double Cosets; 2-Blocks; |
Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
Item ID: | 2038 |
Depositing User: | Dr. John Murray |
Date Deposited: | 06 Jul 2010 15:44 |
Journal or Publication Title: | Communications in Algebra |
Publisher: | Taylor & Francis |
Refereed: | No |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/2038 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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