Projective modules and involutions
| dc.creator | Murray, John | |
| dc.date | 2004-03-23 | |
| dc.date.accessioned | 2026-07-07T05:06:40Z | |
| dc.date.available | 2026-07-07T05:06:40Z | |
| dc.description | Let G be a finite group, and let Omega:={t\in G\mid t^2=1}. Then Omega is a G-set under conjugation. Let k be an algebraically closed field of characteristic 2. It is shown that each projective indecomposable summand of the G-permutation module kOmega is irreducible and self-dual, whence it belongs to a real 2-block of defect zero. This, together with the fact that each irreducible kG-module that belongs to a real 2-block of defect zero occurs with multiplicity 1 as a direct summand of kOmega, establishes a bijection between the projective components of kOmega and the real 2-blocks of G of defect zero. | |
| dc.description | 6 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0403388 | |
| dc.identifier | http://arxiv.org/abs/math/0403388 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70559 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 20C20 | |
| dc.title | Projective modules and involutions | |
| dc.type | text |