Equivalence of 𝐺-algebras for abelian 𝐺

Turull, Alexandre

doi:10.1090/S0002-9939-1995-1249894-9

Equivalence of $G$-algebras for abelian $G$
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Proc. Amer. Math. Soc. 123 (1995), 1655-1660 Request permission

Abstract:

We describe the equivalence classes of central simple G-algebras over an infinite field F for G a finite abelian group, provided the following holds. For each prime p for which the field F has primitive pth roots, the Sylow p-subgroup of G is either cyclic or elementary abelian.

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