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Free groups defined by finite $p$-automata

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.

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Bibliografische Detailangaben
Hauptverfasser: A.P. Krenevych, A.S. Oliynyk
Format: Artigo
Sprache:Inglês
Veröffentlicht: Oles Honchar Dnipro National University 2023-12-01
Schriftenreihe:Researches in Mathematics
Schlagworte:
Online-Zugang:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/409/409
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