Free groups defined by finite $p$-automata

Autor: A.P. Krenevych, A.S. Oliynyk
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