A remark on the structure of the Auslander-Reiten quiver of orders, blocks with cyclic defect two and the Dynkin diagram \({\mathbb{E}}_ 6\)
type: Item
instance of: scholarly article
title: A remark on the structure of the Auslander-Reiten quiver of orders, blocks with cyclic defect two and the Dynkin diagram \({\mathbb{E}}_ 6\)
zbMATH Open document ID: 0569.20013
DOI: 10.1007/BF01275571
author: Alfred Wiedemann
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Previously [Math. Z. 179, 407-429 (1982; Zbl 0494.20005)] the author determined up to stable equivalence the Auslander-Reiten quiver of a block of cyclic defect \(p^ 2\) for RG, where G is a finite group and R is an unramified extension of the p-adic integers. In that work, he was unable to eliminate the possibility that the tree class might be \(E_ 6\), when \(p=3\). Here, that possibility is eliminated.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C11
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 20C10
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 3908669
zbMATH Keywords: stable equivalence
zbMATH Keywords: Auslander-Reiten quiver
zbMATH Keywords: block of cyclic defect
zbMATH Keywords: p- adic integers
reviewed by: William H. Gustafson
MaRDI profile type: Publication
cites work: A characterization of orders of finite lattice type
cites work: Q3698967
cites work: The Auslander-Reiten graph of integral blocks with cyclic defect two and their integral representations
full work available at URL: https://doi.org/10.1007/bf01275571
OpenAlex ID: W2095147721
description: scientific article; zbMATH DE number 3908669