The cohomology ring of certain families of periodic virtually cyclic groups

Sérgio Tadao Martins, Daciberg Lima Gonçalves, Márcio de Jesus Soares

Let G be a virtually cyclic of the form (Z_a x Z_b) x Z or [Z_a x (Z b x Q_{2^i})] x Z. We compute the integral cohomology ring of G, and then obtain the periodicity of the Farell…