Colin D. Reid

activity

20082026

most citedLocally normal subgroups of totally disconnected groups. Part II: Compactly generated simple groups

38 citations · 108 across the 31 of their papers we have counts for

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Showing 2015 · math.GRShow all

4 papers · 2 filters

math.GR2015

The essentially chief series of a compactly generated locally compact group

Colin D. Reid, Phillip R. Wesolek

We first obtain finiteness properties for the collection of closed normal subgroups of a compactly generated locally compact group. Via these properties, every compactly generated…

math.GR2015

Chief factors in Polish groups

Colin D. Reid, Phillip R. Wesolek

In finite group theory, chief factors play an important and well-understood role in the structure theory. We here develop a theory of chief factors for Polish groups. In the develo…

math.GR2015

Homomorphisms into totally disconnected, locally compact groups with dense image

Colin D. Reid, Phillip R. Wesolek

Let $ϕ : G \to H$ be a group homomorphism such that $H$ is a totally disconnected locally compact (t.d.l.c.) group and the image of $ϕ$ is dense. We show that all such homom…

math.GR2015★ 3 cited

Dynamics of flat actions on totally disconnected, locally compact groups

Colin D. Reid

Let $G$ be a totally disconnected, locally compact group and let $H$ be a virtually flat (for example, polycyclic) group of automorphisms of $G$ . We study the structure of, and rel…