On the cyclotomic elements in $K_{2}$ of a rational function field
Volume 164 / 2014
Acta Arithmetica 164 (2014), 209-219
MSC: 11R70, 11R58, 19F15.
DOI: 10.4064/aa164-3-1
Abstract
If $l$ is a prime number, the cyclotomic elements in the $l$-torsion of $K_2(k(x)),$ where $k(x)$ is the rational function field over $k,$ are investigated. As a consequence, a conjecture of Browkin is partially confirmed.