https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Locally normal subgroups of totally disconnected groups. Part I: general theory https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34494 Wed 04 Sep 2019 09:49:52 AEST ]]> Locally normal subgroups of totally disconnected groups. Part II: compactly generated simple groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34493 Wed 04 Sep 2019 09:49:36 AEST ]]> On the residual and profinite closures of commensurated subgroups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41626 Tue 09 Aug 2022 11:36:23 AEST ]]> Locally normal subgroups of simple locally compact groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16383 Sat 24 Mar 2018 08:06:18 AEDT ]]> Limits of contraction groups and the tits core https://ogma.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 ]]>