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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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