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.
Saved in:
| Date: | 2023 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2023
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2132 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-2132 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-21322023-10-30T03:22:13Z On exponentiation, \(p\)-automata and HNN extensions of free abelian groups Oliynyk, A. Prokhorchuk, V. wreath product, exponentiation, rooted tree, automorphism of rooted tree, finite automaton, automaton group, HNN extension 20E08, 20E22, 20E26 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. Lugansk National Taras Shevchenko University 2023-10-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2132 10.12958/adm2132 Algebra and Discrete Mathematics; Vol 35, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2132/pdf Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2023-10-30T03:22:13Z |
| collection |
OJS |
| language |
English |
| topic |
wreath product exponentiation rooted tree automorphism of rooted tree finite automaton automaton group HNN extension 20E08 20E22 20E26 |
| spellingShingle |
wreath product exponentiation rooted tree automorphism of rooted tree finite automaton automaton group HNN extension 20E08 20E22 20E26 Oliynyk, A. Prokhorchuk, V. On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| topic_facet |
wreath product exponentiation rooted tree automorphism of rooted tree finite automaton automaton group HNN extension 20E08 20E22 20E26 |
| format |
Article |
| author |
Oliynyk, A. Prokhorchuk, V. |
| author_facet |
Oliynyk, A. Prokhorchuk, V. |
| author_sort |
Oliynyk, A. |
| title |
On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| title_short |
On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| title_full |
On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| title_fullStr |
On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| title_full_unstemmed |
On exponentiation, \(p\)-automata and HNN extensions of free abelian groups |
| title_sort |
on exponentiation, \(p\)-automata and hnn extensions of free abelian groups |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2132 |
| work_keys_str_mv |
AT oliynyka onexponentiationpautomataandhnnextensionsoffreeabeliangroups AT prokhorchukv onexponentiationpautomataandhnnextensionsoffreeabeliangroups |
| first_indexed |
2025-07-17T10:32:31Z |
| last_indexed |
2025-07-17T10:32:31Z |
| _version_ |
1837889855467552768 |