Let A be a central simple algebra over a field k and G be a commutative group with G = deg(A), It is proved that there exists a regular field extension E/k preserving indices of k-algebras such that A(?)k E is a crossed product with the group G.
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机译：设 A 是域 k 上的中心简单代数，G 是 |G|= deg（A），证明存在一个正则域扩展 E/k 保留 k 代数的索引，使得 A（？）k E 是与群 G 的杂交积。
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