https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Willis theory via graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:42266 Wed 24 Aug 2022 10:13:40 AEST ]]> Homomorphic images of locally compact groups acting on trees and buildings https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:48179 Wed 05 Jul 2023 15:35:57 AEST ]]> Geometric characterization of flat groups of automorphisms https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11018 Sat 24 Mar 2018 10:32:27 AEDT ]]> Limits of contraction groups and the tits core https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:20792 ϯ of a totally disconnected locally compact group G is defined as the abstract subgroup generated by the closures of the contraction groups of all its elements. We show that a dense subgroup is normalised by the Tits core if and only if it contains it. It follows that every dense subnormal subgroup contains the Tits core. In particular, if G is topologically simple, then the Tits core is abstractly simple, and when Gϯ is non-trivial, it is the smallest dense normal subgroup. The proofs are based on the fact, of independent interest, that the map which associates to an element the closure of its contraction group is continuous.]]> Sat 24 Mar 2018 08:05:59 AEDT ]]> Groups acting on trees with prescribed local action https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:53843 Fri 19 Jan 2024 11:48:22 AEDT ]]> Totally disconnected groups from Baumslag-Solitar groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41852 Fri 12 Aug 2022 16:22:24 AEST ]]>