Arithmetically defined representations of groups of type \(\text{SL}(2,\mathbb{F}_q)\)
type: Item
instance of: scholarly article
title: Arithmetically defined representations of groups of type \(\text{SL}(2,\mathbb{F}_q)\)
zbMATH Open document ID: 0933.20033
author: Imke Rust
published in: Finite Fields and their Applications
publication date: 2000-01-16T00:00:00Z
review text: The author considers a subgroup \(G\) lying between the special and the general linear group of order 2 over the finite field \(\mathbb{F}_q\). A representation which arises from a natural action of \(G\) on a quotient graph of the Bruhat-Tits tree of \(\text{GL}(2,\mathbb{F}_q((\pi)))\) is described and its irreducible components are determined.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 1229761
zbMATH Keywords: congruence subgroups
zbMATH Keywords: graphs
zbMATH Keywords: groups
zbMATH Keywords: representations
zbMATH Keywords: general linear groups
zbMATH Keywords: special linear groups
zbMATH Keywords: actions
Wikidata QID: Q123220177
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
full work available at URL: ffta.1998.0220
OpenAlex ID: W2058116807
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DOI: 10.1006/FFTA.1998.0220
description: scientific article; zbMATH DE number 1229761