Distal actions and ergodic actions on compact groups
| dc.creator | Raja, C. R. E. | |
| dc.date | 2007-04-30 | |
| dc.date.accessioned | 2026-07-07T07:58:45Z | |
| dc.date.available | 2026-07-07T07:58:45Z | |
| dc.description | Let $K$ be a compact metrizable group and $\Ga$ be a group of automorphisms of $K$. We first show that each $\ap \in \Ga$ is distal on $K$ implies $\Ga$ itself is distal on $K$, a local to global correspondence provided $\Ga$ is a generalized $\ov{FC}$-group or $K$ is a connected finite-dimensional group. We show that $\Ga$ contains an ergodic automorphism when $\Ga$ is nilpotent and ergodic on a connected finite-dimensional compact abelian group $K$. | |
| dc.identifier | https://arxiv.org/abs/0704.3911 | |
| dc.identifier | http://arxiv.org/abs/0704.3911 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128123 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B05, 37A15 (primary) 22B05, 22C05 (secondary) | |
| dc.title | Distal actions and ergodic actions on compact groups | |
| dc.type | text |