On elements of given order in \(K_ 2F\)
type: Item
instance of: scholarly article
title: On elements of given order in \(K_ 2F\)
zbMATH Open document ID: 0665.12011
DOI: 10.1016/0022-4049(88)90107-7
author: Jerzy Urbanowicz
published in: Journal of Pure and Applied Algebra
publication date: 1988-01-01T00:00:00Z
review text: The author introduces symbols with matrix entries in the Steinberg group of a ring. These symbols are used to detect torsion elements in the \(K_ 2\) of a field F. In particular, every element of odd prime order p in \(K_ 2F\), \(p\neq char(F)\), is a product of at most p-2 of these symbols. The results are based on papers of Suslin and of Rosset-Tate.
Mathematics Subject Classification ID: 11R70
zbMATH DE Number: 4087787
zbMATH Keywords: Steinberg group of a ring
zbMATH Keywords: torsion elements in the \(K_ 2\) of a field
MaRDI profile type: Publication
full work available at URL: 0022-4049(88)90107-7
OpenAlex ID: W2087697382
cites work: Q5634073
cites work: Elements of small order in K2F
cites work: Introduction to Algebraic K-Theory. (AM-72)
cites work: A reciprocity law for \(K_2\)-traces
cites work: Q3222951
cites work: Integer valued polynomials over a number field
description: scientific article; zbMATH DE number 4087787