NUI Maynooth

NUIM ePrints and eTheses Archive

NUIM Library

Sylow Intersections, Double Cosets, and 2-Blocks

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

[img] 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 ¼ 2. For convenience we assume that F is a splitting field for all subgroups of G. Let ZðpÞ denote the localization ofthe integers Z at the prime ideal pZ. If x 2 ZðpÞ, then x will denote its image modulo the unique maximal ideal of ZðpÞ. We regard x as lying in the prime field GFðpÞ of F.

Item Type: Article
Keywords: Sylow Intersections; Double Cosets; 2-Blocks;
Subjects: Science & Engineering > Mathematics
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:

Repository Staff Only(login required)

View Item Item control page

Document Downloads

More statistics for this item...