On the determination of Green's relations in finite transformation semigroups
Journal of Symbolic Computation
Computing transformation semigroups
Journal of Symbolic Computation
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Computation with permutation groups
SYMSAC '71 Proceedings of the second ACM symposium on Symbolic and algebraic manipulation
Computing transformation semigroups
Journal of Symbolic Computation
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This paper describes algorithms for computing the structure of finite transformation semigroups. The algorithms depend crucially on a new data structure for an R -class in terms of a group and an action. They provide for local computations, concerning a single R -class, without computing the whole semigroup, as well as for computing the global structure of the semigroup. The algorithms have been implemented in the share package MONOID within the GAP system for computational algebra. Copyright 2002 Academic Press