Mathematical Research Letters

Volume 16 (2009)

Number 5

A note on generators of even-numbered $K$-groups of rings of integers

Pages: 841 – 848

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n5.a7

Authors

Wojciech Gajda (Department of Mathematics, Adam Mickiewicz University, Poznań, Poland)

Cornelius Greither (Fakultät Informatik, Universität der Bundeswehr München, Neubiberg, Germany)

Abstract

In this note we give explicit generators for étale even-numbered $K$-groups of the ring of integers in some cyclotomic fields, using generalised symbols and standard results in cyclotomic Iwasawa theory.

Keywords

class group, cyclotomic field, étale cohomology, $K$-groups

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