Bicyclic units, Bass cyclic units and free groups
| dc.creator | Goncalves, Jairo Z. | |
| dc.creator | del Rio, Angel | |
| dc.date | 2006-12-04 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:07Z | |
| dc.date.available | 2026-07-07T08:05:07Z | |
| dc.description | Let $G$ be a finite group and $\Z G$ its integral group ring. We show that if $α$ is a non-trivial bicyclic unit of $\Z G$, then there are bicyclic units $β$ and $γ$ of different types, such that $\GEN{α,β}$ and $\GEN{α,γ}$ are non-abelian free groups. In case that $G$ is non-abelian of order coprime with 6, then we prove the existence of a bicyclic unit $u$ and a Bass cyclic unit $v$ in $\Z G$, such that for every positive integer $m$ big enough, $\GEN{u^m,v}$ is a free non-abelian group. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612091 | |
| dc.identifier | http://arxiv.org/abs/math/0612091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130178 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16S34; 20E05 | |
| dc.title | Bicyclic units, Bass cyclic units and free groups | |
| dc.type | text |