Some solvable automaton groups
| dc.creator | Bartholdi, Laurent | |
| dc.creator | Šunik, Zoran | |
| dc.date | 2006-03-01 | |
| dc.date | 2006-03-14 | |
| dc.date.accessioned | 2026-07-07T07:06:26Z | |
| dc.date.available | 2026-07-07T07:06:26Z | |
| dc.description | It is shown that certain ascending HNN extensions of free abelian groups of finite rank, as well as various lamplighter groups, can be realized as automaton groups, i.e., can be given a self-similar structure. This includes the solvable Baumslag-Solitar groups BS(1,m), for m not +/-1. In addition, it is shown that, for any relatively prime integers m,n>=2, the pair of Baumslag-Solitar groups BS(1,m) and BS(1,n) can be realized by a pair of dual automata. The examples are then used to illustrate more general connections between Schreier graphs, composition of automata and dual automata. | |
| dc.description | Minor corrections on which Baumslag-Solitar groups are realized by automata | |
| dc.identifier | https://arxiv.org/abs/math/0603032 | |
| dc.identifier | http://arxiv.org/abs/math/0603032 | |
| dc.identifier | Contemp. Math. 394 (2006), pages 11--30 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110022 | |
| dc.subject | Group Theory | |
| dc.subject | 20E08, 68Q70, 20F05 | |
| dc.title | Some solvable automaton groups | |
| dc.type | text |