The automorphism group of the graph of an \({\mathcal R}\) class
type: Item
instance of: scholarly article
title: The automorphism group of the graph of an \({\mathcal R}\) class
zbMATH Open document ID: 0861.20057
DOI: 10.1007/BF02574153
published in: Semigroup Forum
publication date: 1997-04-17T00:00:00Z
full work available at URL: https://eudml.org/doc/135501
review text: It is shown that for an element \(m\) of a semigroup \(S\) the Schützenberger group of the \(\mathcal H\)-class of \(m\) embeds in the automorphism group of the \(R\) graph of \(m\) (a representation of the \(\mathcal R\)-class of \(m\)) and that the embedding is an isomorphism if \(m\) is regular but not necessarily otherwise.
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M05
zbMATH DE Number: 943678
zbMATH Keywords: semigroups
zbMATH Keywords: Schützenberger groups
zbMATH Keywords: automorphism groups
zbMATH Keywords: graphs
zbMATH Keywords: embeddings
author: Joseph B. Stephen
reviewed by: Peter M. Higgins
MaRDI profile type: Publication
cites work: Q4271197
cites work: Presentations of inverse monoids
description: scientific article; zbMATH DE number 943678