On extended block induction
type: Item
instance of: scholarly article
title: On extended block induction
zbMATH Open document ID: 0868.20006
published in: Journal of Algebra
publication date: 1997-08-21T00:00:00Z
review text: Let \(G\) be a finite group, \(p\) a prime number and \((F,R,K)\) be a \(p\)-modular system such that \(F\) and \(K\) are splitting fields for every subgroup of \(G\). The author proves some \(p\)-local characterization of extended block induction of \(G\) introduced by \textit{W. W. Wheeler} [J. Lond. Math. Soc., II. Ser. 49, No. 1, 73-82 (1994; Zbl 0799.20011)] and studies the behaviour of principal blocks under extended induction. He also examines whether properties (such as transitivity) of other types of induction hold for extended induction.
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 954787
zbMATH Keywords: finite groups
zbMATH Keywords: \(p\)-modular systems
zbMATH Keywords: \(p\)-local characterizations
zbMATH Keywords: extended block inductions
zbMATH Keywords: principal blocks
author: Guo-Qiang Huang
reviewed by: Ahmed A. Khammash
MaRDI profile type: Publication
full work available at URL: jabr.1996.0355
OpenAlex ID: W2028840169
DOI: 10.1006/JABR.1996.0355
description: scientific article; zbMATH DE number 954787