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

Published: January 6, 2026 | arXiv ID: 2601.03206v1

By: Benjamin Steinberg

Potential Business Impact:

Makes math rules for computer chips simpler.

Business Areas:
Quantum Computing Science and Engineering

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 $3^{n^2}$.

Page Count
4 pages

Category
Mathematics:
Group Theory