CARMA Event
11:00 am — 4:00 pm
Monday, 27th Jul 2015
V205, Mathematics Building
Schedule:
- 11-12 Luke Morgan, UWA
- 12-1 Lunch
- 1-2 Stephan Tornier, ETH (Zurich)
- 2-3 Afternoon tea
- 3-4 Simon Smith, CityTech, CUNY (New York)
Luke Morgan
(University of Western Australia)
On locally-transitive discrete automorphism groups of bi-regular trees
I'll give an overview of some recent developments in the theory of groups of automorphisms of trees which are discrete in the full automorphism group of the tree and are locally-transitive. I'll also mention some questions which have been provoked by this work.
Dr Stephan Tornier
(The University of Newcastle)
On a generalization of Burger-Mozes universal groups
We generalize the Burger-Mozes universal groups acting on regular trees by prescribing the local action on balls of a given radius, and study the basic properties of this construction. We then apply our results to prove a weak version of the Goldschmidt-Sims conjecture for certain classes of primitive permutation groups.
Simon Smith
(CityTech, City University of New York)
Structural results about infinite permutation groups