TY - JOUR
AU - Prokhorchuk, V.
PY - 2021/06/28
Y2 - 2024/04/19
TI - On finite state automaton actions of HNN extensions of free abelian groups
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.13.1.180-188
UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/5000
SP - 180-188
AB - <p>HNN extensions of free abelian groups are considered. For arbitrary prime $p$ it is introduced a class of such extensions that act by finite automaton permutations over an alphabet $ \mathsf{X} $ of cardinality $p$ and belong to $p$-Sylow subgroup of the group of automaton permutations over such $ \mathsf{X} $. As a corollary it implies that all corresponding HNN extensions are residually $p$-finite.</p>
ER -