On exponentiation, \(p\)-automata and HNN extensions of free abelian groups

A. Oliynyk, V. Prokhorchuk

Abstract


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.

Keywords


wreath product, exponentiation, rooted tree, automorphism of rooted tree, finite automaton, automaton group, HNN extension

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DOI: http://dx.doi.org/10.12958/adm2132

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