Dessislava H. Kochloukova

collaborators

3 papers

math.GR2014

The virtual first Betti number of soluble groups

Martin R. Bridson, Dessislava H. Kochloukova

We show that if a group G is finitely presented and nilpotent-by-abelian-by-finite, then there is an upper bound on the first betti number of M as M runs through all subgroups of f…

math.GR2010

Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V

Dessislava H. Kochloukova, Conchita Martinez-Perez, Brita E. A. Nucinkis

We show that Brin's generalisations $2 V$ and $3 V$ of the Thompson-Higman group $V$ are of type $F P_{\infty}$ . Our methods also give a new proof that both groups are finitely presente…

math.GR2010

Fixed points of finite groups acting on generalised Thompson groups

D. H. Kochloukova, C. Martínez-Pérez, B. E. A. Nucinkis

We study centralisers of finite order automorphisms of generalisations of Thompson's group F and conjugacy classes of finite subgroups in finite extensions of these groups. In part…