1 citations · 1 across the 3 of their papers we have counts for
9 papers
Relative extensions and cohomology of profinite groups
Gareth Wilkes
We construct a correspondence between the cohomology groups of a group relative to a family of subgroups $\famS$ and the classes of `relative extensions' of by abelian grou…
A sufficient condition for accessibility of pro- groups
Gareth Wilkes
We establish a sufficient condition for a finitely generated pro- group to be accessible in terms of finite generation of the module of ends.
Distinguishing crystallographic groups by their finite quotients
Paweł Piwek, David Popović, Gareth Wilkes
Using the computer algebra program GAP, we show that all crystallographic groups in dimensions at most 4 are distinguished from each other by their sets of finite quotients.
Virtually abelian quotients of random groups
Gareth Wilkes
It is well-known that random groups with at least as many relators as generators have vanishing first betti number with high probability. In this paper we extend this question and…
On accessibility for pro- groups
Gareth Wilkes
We define the notion of accessibility for a pro- group. We prove that finitely generated pro- groups are accessible given a bound on the size of their finite subgroups. We th…
A criterion for residual -finiteness of arbitrary graphs of finite -groups
Gareth Wilkes
We establish conditions under which the fundamental group of a graph of finite -groups is necessarily residually -finite. The technique of proof is independent of previously…