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Questions about the branch of algebra that deals with groups.

4 votes
1 answer
101 views

Equivalence of finiteness of $spliG$ and periodicity isomorphisms being induced by cup product

I am trying to prove that the following are equivalent for a group $G$ with periodic cohomology with period $q$ after $k$ steps: $(i)\ spliG<\infty$ (where $spliG$ is the supremum of injective length …