Phillip Wesolek : A new proof of a theorem of Trofimov

Posted by , part of the Louise Hay Logic Seminar.

At

Sept. 6, 2012, 3 p.m.

In

SEO 427

Abstract

Let $\Gamma$ be a vertex symmetric, locally finite graph and endow $Aut(\Gamma)$ with the topology of pointwise convergence. It is easy to see $B(G):=\{g\in Aut(\Gamma):\exists n \forall v\in V\Gamma d(v,gv)\leq n\}$ is a subgroup. Trofimov proved that $B(G)$ is also closed. In this talk a new, elementary proof is given of Trofimov's result.