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arXiv · 2601.03206

A short proof of a bound on the size of finite irreducible semigroups of rational matrices

Benjamin Steinberg
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Abstract

I give a short proof of a recent result due to Kiefer and Ryzhikov showing that a finite irreducible semigroup of $n\times n$ matrices has cardinality at most $3^{n^2}$.

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Benjamin Steinberg. 2026-01-06. A short proof of a bound on the size of finite irreducible semigroups of rational matrices. https://arxiv.org/abs/2601.03206

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