Densities of 4-ranks of K_2(O)

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Title: Densities of 4-ranks of K_2(O)
Authors: Osburn, Robert
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Date: 2002
Online since: 2016-09-16T11:49:32Z
Abstract: In [1], the authors established a method of determining the structure of the 2-Sylow subgroup of the tame kernel K2(O) for certain quadratic number fields. Specifically, the 4-rank for these fields was characterized in terms of positive definite binary quadratic forms. Numerical calculations led to questions concerning possible density results of the 4-rank of tame kernels. In this paper, we succeed in giving affirmative answers to these questions.
Type of material: Journal Article
Publisher: Polskiej Akademi Nauk, Instytut Matematyczny
Journal: Acta Arithmetica
Volume: 102
Start page: 45
End page: 54
Keywords: K-theoryGlobal fieldsQuadratic extensionsDensity theorems
DOI: 10.4064/aa102-1-4
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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