We rectify Theorem 3.4 of [1] which gives a relation between the isomorphism types of a group algebra FG of a finite abelian group G over a field F of characteristic 0, the second cohomology group H²(G, F*) and the isomorphism type of G. We show how this relation depends on the behavior of F under extensions by roots of unity.

中文翻译：

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关于“场上的扭曲基环同构问题”的更正

我们纠正[1]的定理3.4，该定理给出了有限阿贝尔群G的群代数FG在特征0的场F上的同构类型，第二同调群H ²（G，F *）与同构之间的关系G的类型。我们展示了这种关系如何取决于F在统一根基础上扩展的行为。