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math.GR2026
Bases of Permutation Groups and Boolean Representable Simplicial Complexes
Stuart Margolis, John Rhodes
A base of a permutation group (X,G) is a subset B of X such that its pointwise stabilizer is the trivial group. A list (x1,x2, ... ,xk) of elements of X is irredundant if each elem…
math.GR2025★ 1 cited
Master List of Examples in Complexity Theory of Finite Semigroup Theory
Stuart Margolis, John Rhodes
This document gives a list of finite semigroups that are interesting from the point of view of Krohn-Rhodes complexity theory. The list will be expanded and updates as "time goes b…
math.GR2025
Complexity of Finite Semigroups: History and Decidability
StuarT Margolis, John Rhodes, Anne Schilling
In recent papers, Margolis, Rhodes and Schilling proved that the complexity of a finite semigroup is computable. This solved a problem that had been open for more than 50 years. Th…