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

Assim, Jilali, Boukhari, Saad El

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.

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