The cohomology ring of certain families of periodic virtually cyclic groups

Daciberg Lima Gon\c{c}alves; M\'arcio de Jesus Soares; S\'ergio Tadao Martins

arxiv: 1603.01475 · v1 · pith:NIDZIS6Wnew · submitted 2016-03-04 · 🧮 math.AT · math.GR

The cohomology ring of certain families of periodic virtually cyclic groups

S\'ergio Tadao Martins , Daciberg Lima Gon\c{c}alves , M\'arcio de Jesus Soares This is my paper

classification 🧮 math.AT math.GR

keywords cohomologycyclicgroupsringvirtuallycertaincomputefamilies

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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 cohomology of these groups.

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The cohomology ring of certain families of periodic virtually cyclic groups

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