Noether’s problem and the unramified Brauer group for groups of order 64
Time: 2009-10-23
Published By:
Speaker(s): Mingchang Kang (National Taiwan University)
Time: 00:00-00:00 October 23, 2009
Venue: 北京大学资源大厦1328
Title： Noether’s problem and the unramified Brauer group for groups of order 64
Speaker: Mingchang Kang (National Taiwan University)
Time： Oct 23 2：00pm ---3：00pm
Place：北京大学资源大厦1328
Abstract: Let $k$ be a field, $G$ be a finite group. Define $k(G)=k(x_g: g in G)^G.$ Noether’s problem asks whether $k(G)$ is $k-$rational. We will classify all the groups $G$ of order 64 such that $CG$ is $C-$rational. We will also classify those groups $G$ with trivial unramified Brauer groups.
