https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 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 ]]> Approximating simple locally compact groups by their dense locally compact subgroups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:42564 H that admit a continuous embedding with dense image into some G ∈ S that is, we consider the dense locally compact subgroups of groups G ∈ S. We identify a class ℛ of almost simple groups that properly contains S and is moreover stable under passing to a non-discrete dense locally compact subgroup. We show that ℛ enjoys many of the same properties previously obtained for S and establish various original results for ℛ that are also new for the subclass S, notably concerning the structure of the local Sylow subgroups and the full automorphism group.]]> Thu 25 Aug 2022 11:46:28 AEST ]]>