The biset category of finite groups is implemented in CAP via Kleisli composition of a biadjunction monad and coequalizer completion of one-object groupoids, yielding a categorical reading of the Schreier-Sims orbit algorithm.
In: Representations of Al- gebras, Geometry and Physics, Contemp
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Implementing the biset category of finite groups
The biset category of finite groups is implemented in CAP via Kleisli composition of a biadjunction monad and coequalizer completion of one-object groupoids, yielding a categorical reading of the Schreier-Sims orbit algorithm.