Computing automorphisms of semigroups

Autores: Jesús Araujo Gómez , P.V. Bünau, J. D. Mitchell, M. Neunhöffer
Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 45, Nº 3, 2010, págs. 373-392
Idioma: inglés
DOI: 10.1016/j.jsc.2009.10.001
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Resumen
- In this paper an algorithm is presented that can be used to calculate the automorphism group of a finite transformation semigroup. The general algorithm employs a special method to compute the automorphism group of a finite simple semigroup. As applications of the algorithm all the automorphism groups of semigroups of order at most 7 and of the multiplicative semigroups of some group rings are found. We also consider which groups occur as the automorphism groups of semigroups of several distinguished types.