报告题目：The extended Bloch groups of biquadratic and dihedral number fields
报告人：秦厚荣  教授  南京大学
时间：10月31日14:30-15:30
地点：管研楼1518

摘要： In this talk, we will discuss the Galois action on the extended Bloch groups of biquadratic and dihedral number fields. We show that if $F$ is a biquadratic number field, then the index $Q_2(F)$ in Browkin and Gangl's formulas on the Brauer-Kuroda relation can only be $1$ or $2$. This is exactly what Browkin and Gangl predicted in their paper. Moreover we give the explicit criteria for $Q_2(F)=1$ or $2$ in terms of the Tate kernels. We also prove that $Q_2(F)=1$ or $p$ for any dihedral extension $F//Q$ whose Galois group is the dihedral group of order $2p$, where $p$ is an odd prime.

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