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arXiv · 1811.02115

Examples of defining groups by finite automata

Victoriia Korchemna
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Abstract

We construct the groups $ $ and $ $, using 3-state automata over the alphabets $\{1,2,3\}$ and $\{1,2,3,4\}$. In addition, we show, how to define direct powers of $G$ by automaton (when for $G$ it's given), keeping the alphabet.

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Victoriia Korchemna. 2018-11-03. Examples of defining groups by finite automata. https://arxiv.org/abs/1811.02115

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