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arXiv · 1503.08375

Degree Three Unramified Cohomology Groups

Akinari Hoshi·Ming-chang Kang·Aiichi Yamasaki
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Abstract

Let $p$ be an odd prime number. Peyre shows that there is a group $G$ of order $p^{12}$ such that $H_{nr}^3(\bm{C}(G), \bm{Q}/\bm{Z})$ is non-trivial. Using Peyre's method, we are able to prove that the same conclusion is true for some groups of order $p^9$.

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Akinari Hoshi, Ming-chang Kang, Aiichi Yamasaki. 2015-03-29. Degree Three Unramified Cohomology Groups. https://arxiv.org/abs/1503.08375

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