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Licensed Unlicensed Requires Authentication Published by De Gruyter February 8, 2010

A note on the Green theory in the Clifford-theoretic context of a defect zero p-block of a normal subgroup of a finite group

  • Morton E. Harris
From the journal Journal of Group Theory

Abstract

Let N be a normal subgroup of a finite group G such that b is a block of defect zero on N. (This will be the case for any block of N if N is a p′-group.) Let M be an indecomposable G-module with vertex Q that lies in a block of G that covers b. We present a procedure for obtaining a Green correspondent of M relative to , , and for obtaining Q-sources of M using Clifford-theoretic analyses.

Received: 2009-06-30
Revised: 2009-07-13
Published Online: 2010-02-08
Published in Print: 2010-July

© de Gruyter 2010

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