5 papers · 1 filter
Local-to-global fixed point properties for graphical C(4)-T(4) and C(6) small cancellation complexes
Karol Duda, Huaitao Gui
Graphical small cancellation extends the classical small cancellation theory and provides a powerful method for constructing groups with prescribed subgraphs in their Cayley graphs…
The small cancellation flat torus theorem
Karol Duda
We establish Flat Torus Theorem type results for groups acting on small cancellation complexes satisfying C(6), C(4)-T(4) and C(3)-T(6) conditions. For C(3)-T(6) complexes the resu…
Computable Folner sequences of amenable groups
Karol Duda, Aleksander Ivanov
The paper considers computable Folner sequences in computably enumerable amenable groups. We extend some basic results of M. Cavaleri on existence of such sequences to the case of…
Torsion subgroups of small cancellation groups
Karol Duda
We prove that torsion subgroups of groups defined by C(6), C(4)-T(4) or C(3)-T(6) small cancellation presentations are finite cyclic groups. This follows from a more general result…
Amenability and computability
Karol Duda
In this paper we extend the approach of M. Cavaleri to effective amenability to the class of computably enumerable groups, i.e. in particular we do not assume that groups are finit…