https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 The essentially chief series of a compactly generated locally compact group https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41659 Wed 10 Aug 2022 10:56:26 AEST ]]> The essentially chief series of a compactly generated locally compact group https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41660 Wed 10 Aug 2022 10:56:18 AEST ]]> 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 ]]> Discrete locally finite full groups of Cantor set homeomorphisms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:40804 Tue 19 Jul 2022 08:34:20 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 ]]> Equicontinuity, orbit closures and invariant compact open sets for group actions on zero-dimensional spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41202 Thu 28 Jul 2022 11:26:26 AEST ]]> Distal actions on coset spaces in totally disconnected locally compact groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41169 Thu 28 Jul 2022 10:02:32 AEST ]]> Chief factors in Polish groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41694 Thu 11 Aug 2022 11:47:16 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 ]]> The number of profinite groups with a specified sylow subgroup https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26204 p'(S) be the class of profinite groups G that have S as a Sylow subgroup, and such that S intersects nontrivially with every nontrivial normal subgroup of G. In this paper, we investigate whether or not there is a bound on |G ⁚ S| for G ∈ ℇp'(S). For instance, we give an example where ℇp'(S) contains an infinite ascending chain of soluble groups, and on the other hand show that |G ⁚ S| is bounded in the case where S is just infinite.]]> Sat 24 Mar 2018 07:36:31 AEDT ]]> Dynamics of flat actions on totally disconnected, locally compact groups https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:24669 Sat 24 Mar 2018 07:10:55 AEDT ]]> Homomorphisms into totally disconnected, locally compact groups with dense image https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:41457 Mon 08 Aug 2022 08:06:24 AEST ]]>