We study a profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N . If G is pro-p and N is either free as a pro-p group or a Poincaré… (More)

We establish some sufficient conditions for the profinite and prop completions of an abstract group G of type FPm (resp of finite cohomological dimension, of finite Euler characteristics) to be of… (More)

We show that an infinite cyclic covering space M ′ of a PDn complex M is a PDn−1 -complex if and only if χ(M) = 0 and M ′ is homotopy equivalent to a complex with finite [(n − 1)/2]-skeleton and π1(M… (More)

Thompson’s group F is the group of all increasing dyadic PL homeomorphisms of the closed unit interval. We compute Σm(F ) and Σm(F ; Z), the homotopical and homological Bieri-Neumann-Strebel-Renz… (More)

We study subdirect products of free and Demushkin pro-p groups of depth ∞ developing theory similar to the abstract case, see [4]. Furthermore we classify when a subdirect product has homological… (More)

We give an example of a short exact sequence 1 → N → G → D → 1 of pro-p groups such that the cohomological dimension cd(G) = 2, G is (topologically) finitely generated, N is a free pro-p group of… (More)

We study centralisers of finite order automorphisms of the generalised Thompson groups Fn,∞ and conjugacy classes of finite subgroups in finite extensions of Fn,∞. In particular we show that… (More)