Abstract Let G be a finite group, V a faithful finite-dimensional representation of G over the complex field and be the corresponding invariant field. The Bogomolov multiplier of G is canonically isomorphic to the unramified cohomological group which has been used by Saltman in 1984 and Bogomolov in 1988 to provide counterexamples to the rationality problem of for finite p-groups P over In this paper, we investigate the vanishing property of where P denotes a p-group of order p 6 for

中文翻译：

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某些 p 6 阶群的 Bogomolov 乘数

摘要 设 G 为有限群，V 为 G 在复域上的忠实有限维表示，并为其对应的不变域。G 的 Bogomolov 乘子与非分枝上同调群规范同构，Saltman 在 1984 年和 Bogomolov 在 1988 年使用它来为有限 p 群 P 的合理性问题提供反例。其中 P 表示 p 6 阶的 p 群