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/