29 citations · 79 across the 13 of their papers we have counts for
4 papers · 1 filter
On strongly just infinite profinite branch groups
François Le Maître, Phillip Wesolek
For profinite branch groups, we first demonstrate the equivalence of the Bergman property, uncountable cofinality, Cayley boundedness, the countable index property, and the conditi…
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…
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…
Homomorphisms into totally disconnected, locally compact groups with dense image
Colin D. Reid, Phillip R. Wesolek
Let be a group homomorphism such that is a totally disconnected locally compact (t.d.l.c.) group and the image of is dense. We show that all such homom…