Free groups defined by finite $p$-automata
Autor: | A.P. Krenevych, A.S. Oliynyk |
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Jazyk: | English<br />Ukrainian |
Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Researches in Mathematics, Vol 31, Iss 2, Pp 48-54 (2023) |
Druh dokumentu: | article |
ISSN: | 2664-4991 2664-5009 |
DOI: | 10.15421/242314 |
Popis: | For every odd prime $p$ we construct two $p$-automata with 14 inner states and prove that the group generated by 2 automaton permutations defined at their states is a free group of rank 2. |
Databáze: | Directory of Open Access Journals |
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