Canonical localizers and nonmaximal orders in the Witt setting
type: Item
instance of: scholarly article
title: Canonical localizers and nonmaximal orders in the Witt setting
zbMATH Open document ID: 0547.10022
DOI: 10.1016/0022-314X(85)90018-6
author: Max L. Warshauer
published in: Journal of Number Theory
publication date: 1985-01-01T00:00:00Z
review text: Canonical localizers relating the number field trace to the residue field trace arise in the study of the Witt group, and in the study of the knot concordance group. These are required to do computations in the Witt setting when nonmaximal orders in an algebraic number field are studied. This paper gives criteria under which these canonical localizers can be computed, and analyzes the problems which occur in using the boundary exact sequence. It also gives an example of an element of order 4 in the knot concordance group \(C_ S({\mathbb{Z}})\), where \(S={\mathbb{Z}}(\theta)\) is a nonmaximal order in the algebraic number field \({\mathbb{Q}}(\theta)\).
Mathematics Subject Classification ID: 11E16
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 3871466
zbMATH Keywords: Canonical localizers
zbMATH Keywords: number field trace
zbMATH Keywords: residue field trace
zbMATH Keywords: Witt group
zbMATH Keywords: knot concordance group
zbMATH Keywords: nonmaximal orders
MaRDI profile type: Publication
cites work: Q3907640
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full work available at URL: 0022-314x(85)90018-6
OpenAlex ID: W2040966109
description: scientific article; zbMATH DE number 3871466