https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Classification of the simple factors appearing in composition series of totally disconnected contraction groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:9877 Wed 11 Apr 2018 15:45:13 AEST ]]> Directions of automorphisms of lie groups over local fields compared to the directions of lie algebra automorphisms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11666 Wed 11 Apr 2018 15:15:18 AEST ]]> Uniscalar p-adic Lie groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11584 Wed 11 Apr 2018 09:38:30 AEST ]]> Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:42416 Tue 23 Aug 2022 08:48:26 AEST ]]> Decompositions of locally compact contraction groups, series and extensions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:38290 n(x) →e pointwise as n →∞. We show that every surjective, continuous, equivariant homomorphism between locally compact contraction groups admits an equivariant continuous global section. As a consequence, extensions of locally compact contraction groups with abelian kernel can be described by continuous equivariant cohomology. For each prime number p, we use 2-cocycles to construct uncountably many pairwise non-isomorphic totally disconnected, locally compact contraction groups (G, α)which are central extensions{0}→Fp((t))→G→Fp((t))→{0}of the additive group of the field of formal Laurent series over Fp=Z/pZby itself. By contrast, there are only countably many locally compact contraction groups (up to isomorphism) which are torsion groups and abelian, as follows from a classification of the abelian locally compact contraction groups.]]> Thu 26 Aug 2021 14:13:11 AEST ]]> Topologization of Hecke C*-algebras https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11641 Sat 24 Mar 2018 10:33:54 AEDT ]]> Locally pro-p contraction groups are nilpotent https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41610 Mon 08 Aug 2022 13:47:31 AEST ]]>