Testing spherical transitivity in iterated wreath products of cyclic groups
| dc.creator | Steinberg, Benjamin | |
| dc.date | 2006-07-22 | |
| dc.date.accessioned | 2026-07-07T07:20:49Z | |
| dc.date.available | 2026-07-07T07:20:49Z | |
| dc.description | We give a partial solution a question of Grigorchuk, Nekrashevych, Sushchanskii and Šunik by giving an algorithm to test whether a finite state element of an infinite iterated (permutational) wreath product $\hat G = \mathbb Z/k\mathbb Z\wr \mathbb Z/k\mathbb Z\wr \mathbb Z/k\mathbb Z\wr >...$ of cyclic groups of order $n$ acts spherically transitively. We can also decide whether two finite state spherically transitive elements of $\hat G$ are conjugate. For general infinite iterated wreath products, an algorithm is presented to determine whether two finite state automorphisms have the same image in the abelianization. | |
| dc.identifier | https://arxiv.org/abs/math/0607563 | |
| dc.identifier | http://arxiv.org/abs/math/0607563 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115084 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 20E08, 20E22, 20F38 | |
| dc.title | Testing spherical transitivity in iterated wreath products of cyclic groups | |
| dc.type | text |