On the lifting theory of finite groups of Lie type
type: Item
instance of: scholarly article
title: On the lifting theory of finite groups of Lie type
zbMATH Open document ID: 0554.20010
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Let G be a connected reductive algebraic group defined over a finite field having q elements. Let F be a corresponding Frobenius endomorphism and let \(G(q^ m)=\{g\in G: F^ m(g)=g\}\) be a finite group of Lie type where m is a positive integer. The paper is devoted to lifting theory of these finite groups, in particular to lifting theory of \(G_ 2(q)\) and certain principal series representation of groups of adjoint type.
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 3882630
zbMATH Keywords: connected reductive algebraic group
zbMATH Keywords: Frobenius endomorphism
zbMATH Keywords: finite group of Lie type
zbMATH Keywords: lifting theory
zbMATH Keywords: principal series representation
author: Kathy McGovern
MaRDI profile type: Publication
full work available at URL: pjm.1984.113.383
OpenAlex ID: W1995688016
Wikidata QID: Q115230773
DOI: 10.2140/PJM.1984.113.383
description: scientific article; zbMATH DE number 3882630