Tame kernels and further 4-rank densities

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Title: Tame kernels and further 4-rank densities
Authors: Osburn, Robert
Murray, B.
Permanent link: http://hdl.handle.net/10197/7960
Date: Feb-2003
Online since: 2016-09-16T11:56:30Z
Abstract: There has been recent progress on computing the 4-rank of the tame kernel Full-size image (<1 K) for F a quadratic number field. For certain quadratic number fields, this progress has led to 'density results' concerning the 4-rank of tame kernels. These results were first mentioned in Conner and Hurrelbrink (J. Number Theory 88 (2001) 263) and proven in Osburn (Acta Arith. 102 (2002) 45). In this paper, we consider some additional quadratic number fields and obtain further density results of 4-ranks of tame kernels. Additionally, we give tables which might indicate densities in some generality.
Type of material: Journal Article
Publisher: Elsevier
Journal: Journal of Number Theory
Volume: 98
Issue: 2
Start page: 390
End page: 406
Copyright (published version): 2002 Elsevier
Keywords: K-theoryGlobal fieldsQuadratic extensionsDensity theorems
DOI: 10.1016/S0022-314X(02)00045-8
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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