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math.GR2026
A short proof of a bound on the size of finite irreducible semigroups of rational matrices
Benjamin Steinberg
I give a short proof of a recent result due to Kiefer and Ryzhikov showing that a finite irreducible semigroup of matrices has cardinality at most .
math.GR2025
Realizing wedges of Moore spaces as classifying spaces of finite semigroups
Aris Martinian, Benjamin Steinberg
Fiedorowicz suggested that it was likely that every finite simply connected CW complex is homotopy equivalent to the classifying space of a finite semigroup. We prove that every fi…