A short proof of a bound on the size of finite irreducible semigroups of rational matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912805230215168 |
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| author | Steinberg, Benjamin |
| author_facet | Steinberg, Benjamin |
| contents | 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 $3^{n^2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03206 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A short proof of a bound on the size of finite irreducible semigroups of rational matrices Steinberg, Benjamin Group Theory Formal Languages and Automata Theory Representation Theory 20M30, 20M35 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 $3^{n^2}$. |
| title | A short proof of a bound on the size of finite irreducible semigroups of rational matrices |
| topic | Group Theory Formal Languages and Automata Theory Representation Theory 20M30, 20M35 |
| url | https://arxiv.org/abs/2601.03206 |