Cartan invariants of group algebras of finite groups-Reference-Cited by-同舟云学术

Cartan invariants of group algebras of finite groups

Published:1996 Issue:8 Volume:124 Page:2319-2323
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Koshitani Shigeo

Abstract

We give a result on Cartan invariants of the group algebra k G kG of a finite group G G over an algebraically closed field k k , which implies that if the Loewy length (socle length) of the projective indecomposable k G kG -module corresponding to the trivial k G kG -module is four, then k k has characteristic 2. The proof is independent of the classification of finite simple groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-08/S0002-9939-96-03401-6/S0002-9939-96-03401-6.pdf

Reference9 articles.

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