Isomorphism of modular group algebras of finite torsion-free rank coproducts of p-mixed countable abelian groups

Abstract

Suppose G is with finite torsion-free rank a coproduct of p-mixed countable abelian groups and F is a field with characteristic p such that the group algebras FG and FH are F -isomorphic for another group H . Then G and H are isomorphic.

Keywords

• group algebras, finite torsion-free rank, p-mixed groups, coproducts of countable groups, isomorphisms