On Sushchansky p-groups
| dc.creator | Bondarenko, Ievgen | |
| dc.creator | Savchuk, Dmytro | |
| dc.date | 2006-12-07 | |
| dc.date | 2007-05-02 | |
| dc.date.accessioned | 2026-07-07T07:59:00Z | |
| dc.date.available | 2026-07-07T07:59:00Z | |
| dc.description | We study Sushchansky p-groups. We recall the original definition and translate it into the language of automata groups. The original actions of Sushchansky groups on p-ary tree are not level-transitive and we describe their orbit trees. This allows us to simplify the definition and prove that these groups admit faithful level-transitive actions on the same tree. Certain branch structures in their self-similar closures are established. We provide the connection with, so-called, G groups that shows that all Sushchansky groups have intermediate growth and allows to obtain an upper bound on their period growth functions. | |
| dc.description | 14 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0612200 | |
| dc.identifier | http://arxiv.org/abs/math/0612200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128212 | |
| dc.subject | Group Theory | |
| dc.subject | 20F69, 20F10, 20E08 | |
| dc.title | On Sushchansky p-groups | |
| dc.type | text |