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Modular group algebras of simply presented Abelian groups. (English) Zbl 0691.20008
Summary: 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.

##### MSC:
 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) 20K10 Torsion groups, primary groups and generalized primary groups
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##### References:
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