Virtual Endomorphisms of Nilpotent Groups
| dc.creator | Berlatto, Adilson | |
| dc.creator | Sidki, Said | |
| dc.date | 2006-02-07 | |
| dc.date | 2006-10-12 | |
| dc.date.accessioned | 2026-07-07T07:03:11Z | |
| dc.date.available | 2026-07-07T07:03:11Z | |
| dc.description | A virtual endomorphism of a group G is a homomorphism f from H into G where H is a subgroup of G of finite index m. The triple (G,H,f) produces a state-closed (or, self-similar) representation t of G on the 1-rooted m-ary tree. This paper is a study of properties of the image G^t when G is nilpotent. In particular, it is shown that if G is finitely generated, torsion-free and nilpotent then G^t has solvability degree bounded above by the number of prime divisors of m. | |
| dc.description | 21 pages Modification of the original text | |
| dc.identifier | https://arxiv.org/abs/math/0602131 | |
| dc.identifier | http://arxiv.org/abs/math/0602131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108877 | |
| dc.subject | Group Theory | |
| dc.subject | 20E08, 20F18 | |
| dc.title | Virtual Endomorphisms of Nilpotent Groups | |
| dc.type | text |