Modular group algebras of ℵ₁-separable 𝑝-groups

Göbel, Rüdiger; May, Warren

doi:10.1090/S0002-9939-03-06818-7

Modular group algebras of $\aleph _{1}$-separable $p$-groups
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by Rüdiger Göbel and Warren May

Proc. Amer. Math. Soc. 131 (2003), 2987-2992

DOI: https://doi.org/10.1090/S0002-9939-03-06818-7

Published electronically: January 2, 2003

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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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