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  5. Densities of 4-ranks of K_2(O)
 
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Densities of 4-ranks of K_2(O)

File(s)
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Download 4rank.pdf132.06 KB
Author(s)
Osburn, Robert 
Uri
http://hdl.handle.net/10197/7959
Date Issued
2002
Date Available
16T11:49:32Z September 2016
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-theory

  • Global fields

  • Quadratic extensions

  • Density theorems

DOI
10.4064/aa102-1-4
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
Scopus© citations
0
Acquisition Date
Jan 25, 2023
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Views
1207
Acquisition Date
Jan 25, 2023
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Downloads
107
Acquisition Date
Jan 25, 2023
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