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Tame kernels and further 4-rank densities

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Author(s)
Osburn, Robert 
Murray, B. 
Uri
http://hdl.handle.net/10197/7960
Date Issued
February 2003
Date Available
16T11:56:30Z September 2016
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-theory

  • Global fields

  • Quadratic extensions

  • Density theorems

DOI
10.1016/S0022-314X(02)00045-8
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
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6
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