pi-blocks of pi-separable groups. I
type: Item
instance of: scholarly article
title: pi-blocks of pi-separable groups. I
zbMATH Open document ID: 0595.20014
DOI: 10.1016/0021-8693(86)90128-6
author: Michael C. Slattery
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: Several authors have attempted to defined \(\pi\)-blocks for finite groups, \(\pi\) a set of primes, as a generalization of p-blocks, p a prime. It seems that the theory of \(\pi\)-blocks for arbitrary finite groups can only to a certain point, exploring formal analogies of some kinds. To go further it seems necessary to make assumptions on the \(\pi\)-structures of the groups considered. The present author considers \(\pi\)-separable groups. Under this strong assumption he obtains very nice and interesting results for the \(\pi\)-blocks. The approach is based on results of Isaacs, which are presented in a suitable way in {\S}1. Then {\S}2 contains the author's definition of \(\pi\)-blocks in \(\pi\)-separable groups, and its relation to other definitions is discussed. This paper is the first of a series.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 3957406
zbMATH Keywords: \(\pi \) -blocks
zbMATH Keywords: generalization of p-blocks
zbMATH Keywords: \(\pi \) -separable groups
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90128-6
OpenAlex ID: W2006065548
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description: scientific article; zbMATH DE number 3957406