Murray, John (2001) Sylow Intersections, Double Cosets, and 2-Blocks. Communications in Algebra, 29 (8). pp. 3609-3619. ISSN 1532-4125

Download (208kB)

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
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
URI:	http://www.tandf.co.uk/journals/titles/0...
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

Repository Staff Only(login required)

Item control page

Downloads

Origin of downloads