论文标题
关于奇数$ k $ - 理论组中的特殊元素
On the existence of special elements in odd $K$-theory groups
论文作者
论文摘要
令$ k $是一个虚构的二次数字字段,$ f/k $是Galois Group $ g $的有限ABELIAN扩展。我们研究了半简单情况下\ cite {burns-dejeu-gangl}中引入的猜想特殊元素与ETNC之间的关系。这为$ f/k $在某些条件下的猜想提供了部分证明。
Let $k$ be an imaginary quadratic number field, and $F/k$ a finite abelian extension of Galois group $G$. We investigate the relationship between the conjectural special elements introduced in \cite{Burns-DeJeu-Gangl} and ETNC in the semi-simple case. This provides a partial proof of the conjecture for $F/k$ under certain conditions.