On the cyclotomic elements in K₂ of a rational function field

Kejian Xu; Chaochao Sun; Shanjie Chi

Acta Arithmetica (2014)

  • Volume: 164, Issue: 3, page 209-219
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Kejian Xu, Chaochao Sun, and Shanjie Chi. "On the cyclotomic elements in K₂ of a rational function field." Acta Arithmetica 164.3 (2014): 209-219. <http://eudml.org/doc/279596>.

@article{KejianXu2014,
abstract = {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.},
author = {Kejian Xu, Chaochao Sun, Shanjie Chi},
journal = {Acta Arithmetica},
keywords = {Milnor -group; torsion elements; rational function field},
language = {eng},
number = {3},
pages = {209-219},
title = {On the cyclotomic elements in K₂ of a rational function field},
url = {http://eudml.org/doc/279596},
volume = {164},
year = {2014},
}

TY - JOUR
AU - Kejian Xu
AU - Chaochao Sun
AU - Shanjie Chi
TI - On the cyclotomic elements in K₂ of a rational function field
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 3
SP - 209
EP - 219
AB - 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.
LA - eng
KW - Milnor -group; torsion elements; rational function field
UR - http://eudml.org/doc/279596
ER -

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