Computing automorphisms of semigroups

Araújo, João; Bünau, P. V.; Mitchell, James D.; Neunhöffer, M.

http://hdl.handle.net/10400.2/1992

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Abstract(s)

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 auto- morphism 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 automor- phism groups of semigroups of several distinguished types.

Keywords

Transformation semigroups Automorphism group

URI

http://hdl.handle.net/10400.2/1992

Citation

Araújo, João; [et al.] - Computing automorphisms of semigroups. "Journal of Symbolic Computation" [Em linha]. ISSN 0747-7171. Vol. 45, nº 3 (Mar. 2010), p. 373–392