$On exponentiation, $p$-automata and HNN extensions of free abelian groups$

On exponentiation, $p$-automata and HNN extensions of free abelian groups

For every prime $p$ it is shown that a wide class of HNN extensions of free abelian groups admits faithful representation by finite $p$-automata.

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Bibliographic Details
Date:	2023
Main Authors:	Oliynyk, A., Prokhorchuk, V.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2023
Subjects:	wreath product exponentiation rooted tree automorphism of rooted tree finite automaton automaton group HNN extension 20E08 20E22 20E26
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2132
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Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Description
Summary:	For every prime $p$ it is shown that a wide class of HNN extensions of free abelian groups admits faithful representation by finite $p$-automata.