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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2023-12-01
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| Series: | Researches in Mathematics |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/409/409 |