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arXiv · 1403.0274

Enumerating Transformation Semigroups

James East·Attila Egri-Nagy·James D. Mitchell
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Abstract

We describe general methods for enumerating subsemigroups of finite semigroups and techniques to improve the algorithmic efficiency of the calculations. As a particular application we use our algorithms to enumerate all transformation semigroups up to degree 4. Classification of these semigroups up to conjugacy, isomorphism and anti-isomorphism, by size and rank, provides a solid base for further investigations of transformation semigroups.

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James East, Attila Egri-Nagy, James D. Mitchell. 2014-03-02. Enumerating Transformation Semigroups. https://arxiv.org/abs/1403.0274

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