On the existence of special elements in odd $K$-theory groups

Jilali Assim; Saad El Boukhari

On the existence of special elements in odd $K$-theory groups

Number Theory 2020-06-16 v1

Authors: Jilali Assim , Saad El Boukhari

Abstract

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.

Keywords

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Cite

@article{arxiv.2006.08542,
  title  = {On the existence of special elements in odd $K$-theory groups},
  author = {Jilali Assim and Saad El Boukhari},
  journal= {arXiv preprint arXiv:2006.08542},
  year   = {2020}
}

Comments

27 pages

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