On diagonal entries of Cartan matrices of p-blocks

In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Author: Otokita, Yoshihiro
Format: Article
Language:English
Online Access:Get full text
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Summary:In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of Reynolds ideals.
ISSN:2331-8422