A partial $A_{\infty }$-structure on the cohomology of $C_n\times C_m$

Mikael Vejdemo-Johansson

Suppose $k$ is a field of characteristic 2, and $n,m\ge 4$ powers of 2. Then the $A_{\infty }$-structure of the group cohomology algebras $H^{\ast }(C_n,k)$ and $H^{\ast }(C_m,k)$ are well known…