Computing Automorphisms of Semigroups
Araújo, João; Bunau, P. V.; Mitchell, James D.; Neunhoeffer, M.
Journal of Symbolic Computation, 45(3) (2010), 373-392
http://dx.doi.org/10.1016/j.jsc.2009.10.001
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.
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