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Browsing by Author "East, James"
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Computing finite semigroups
East, James; Egri-Nagy, Attila; Mitchell, James D.; Peresse, Yann (2019-05-01)Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite regular semigroup to that of certain associated subgroups. Examples ... -
Maximal subsemigroups of the semigroup of all mappings on an infinite set
East, James; Mitchell, James D.; Péresse, Y. (2014-11-18)In this paper we classify the maximal subsemigroups of the full transformation semigroup ΩΩ, which consists of all mappings on the infinite set Ω, containing certain subgroups of the symmetric group Sym(Ω) on Ω. In 1965 ...