- PHD CONFIRMATION SEMINAR
- Speaker: Cameron Rogers, School of Mathematical and Physical Sciences, The University of Newcastle
- Title: Automorphisms of totally disconnected, locally compact groups
- Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
- Time and Date: 2:00 pm, Thu, 21st Nov 2013
The scale function plays a key role in the structure theory of totally disconnected locally compact (t.d.l.c.) groups. Whereas it is known that the scale function is continuous when acting on a t.d.l.c. group, analysis of the continuity of the scale in a wider context requires the topologization of the group of continuous automorphisms. Existing topologies for Aut(G) are outlined and shown to be insufficient for guaranteeing the continuity of the scale function. Possible methods of generalising these topologies are explored.
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