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

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 3 2 .

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2026-03-24
DOI
https://doi.org/10.4153/s0008439526101921
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Canadian Mathematical Bulletin
Limits and Structures in Graph Theory
article

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

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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 matrices has cardinality at most 3 2 .

Canadian Mathematical Bulletin
City College of New York (US)
Openalex Percentile: Top 9%
Limits and Structures in Graph Theory
DOIOpen Access PDFOpenAlex
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A short proof of a bound on the size of finite irreducible semigroups of rational matrices · Canadian Mathematical Bulletin (2026) | TGRS Research Map | TGRS