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Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups.

Authors :
Tetsuya Ito
Source :
New York Journal of Mathematics. 2017, Vol. 23, p497-503. 7p.
Publication Year :
2017

Abstract

We show that if the fundamental group of the complement of a rationally homologically fibered knot in a rational homology 3-sphere is bi-orderable, then its Alexander polynomial has at least one positive real root. Our argument can be applied for a finitely generated group which is an HNN extension with certain properties. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10769803
Volume :
23
Database :
Academic Search Index
Journal :
New York Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
125044112