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Corrigendum to “The twisted group ring isomorphism problem over fields”
Israel Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-03-23 , DOI: 10.1007/s11856-021-2125-1 Leo Margolis , Ofir Schnabel
中文翻译:
关于“场上的扭曲基环同构问题”的更正
更新日期:2021-04-14
Israel Journal of Mathematics ( IF 0.8 ) Pub Date : 2021-03-23 , DOI: 10.1007/s11856-021-2125-1 Leo Margolis , Ofir Schnabel
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:
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。