K2K2 of finite abelian group algebras

In this paper, we represent K2(F[G×Zp])K2(F[G×Zp]) as the direct sum of K2(FG)K2(FG) and an elementary abelian pp-group; using this we calculate K2(FG)K2(FG) when FF is a finite field of odd prime characteristic and GG is a finite abelian group of p2p2-rank ≤1. We also compute HDR1(FG) if FF is a finite field of odd characteristic pp and GG is a finite abelian pp-group.