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Modular group algebras of -separable -groups
Authors:  diger Gö  bel  Warren May
Institution:Fachbereich 6, Mathematik und Informatik, Universität Essen, Universitätsstraße 3, D-45117 Essen, Germany ; Department of Mathematics, University of Arizona, Tucson, Arizona 85721
Abstract:Under the assumptions of MA and $\neg$ CH, it is proved that if $F$ is a field of prime characteristic $p$ and $G$ is an $\aleph_{1}$-separable abelian $p$-group of cardinality $\aleph_{1}$, then an isomorphism of the group algebras $FG$ and $FH$ implies an isomorphism of $G$ and $H$.

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