If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-1,
author = {Kejian Xu and Chaochao Sun and Shanjie Chi},
title = {On the cyclotomic elements in K2 of a rational function field},
journal = {Acta Arithmetica},
volume = {166},
year = {2014},
pages = {209-219},
zbl = {1319.11085},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-1}
}
Kejian Xu; Chaochao Sun; Shanjie Chi. On the cyclotomic elements in K₂ of a rational function field. Acta Arithmetica, Tome 166 (2014) pp. 209-219. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-3-1/