Characters and the structure of finite semigroups
type: Item
instance of: scholarly article
title: Characters and the structure of finite semigroups
zbMATH Open document ID: 0533.20040
DOI: 10.1007/BF02573450
author: Hubert Grassmann
published in: Semigroup Forum
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134716
review text: It is shown that properties of the structure of a finite semigroup S such as the order of the set of \({\mathcal J}\)-classes of S and the existence of normal subsemigroups may be deduced from the knowledge of the characters of the irreducible representations of S. The character table of the full transformation semigroup \(T_ 4\) of a four-element set is given.
Mathematics Subject Classification ID: 20M30
Mathematics Subject Classification ID: 20M10
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 3845855
zbMATH Keywords: finite semigroup
zbMATH Keywords: \({\mathcal J}\)-classes
zbMATH Keywords: normal subsemigroups
zbMATH Keywords: irreducible representations
zbMATH Keywords: character table
zbMATH Keywords: full transformation semigroup
MaRDI profile type: Publication
cites work: Q3848243
cites work: Q5340151
cites work: Conjugation in semigroups and finite dimensional algebras
cites work: Representations of semigroups by linear transformations. I
cites work: Characters of finite semigroups
cites work: Q3241232
description: scientific article; zbMATH DE number 3845855