Mod-2 (co)homology of an abelian group

Sergei O. Ivanov, Anatolii Zaikovskii

It is known that for a prime $p\ne 2$ there is the following natural description of the homology algebra of an abelian group $H_{\ast }(A,{\mathbb{F}}_p)\cong \Lambda (A/p)\otimes \Gamma ({}_{p}A)$ and fo…