Modular group algebras of simply presented abelian groups

May, Warren

doi:10.1090/S0002-9939-1988-0962805-2

Modular group algebras of simply presented abelian groups
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Proc. Amer. Math. Soc. 104 (1988), 403-409 Request permission

Abstract:

Let $G$ be a $p$-local Warfield group and $F$ a perfect field of characteristic $p$. It is shown that if the group algebras FG and FH are isomorphic, then $G$ and $H$ are isomorphic.

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