Open Access
January, 2014 Surface links with free abelian groups
J. Math. Soc. Japan 66(1): 247-256 (January, 2014). DOI: 10.2969/jmsj/06610247


It is known that if a classical link group is a free abelian group, then its rank is at most two. It is also known that a $k$-component 2-link group ($k$ > 1) is not free abelian. In this paper, we give examples of $T^2$-links each of whose link groups is a free abelian group of rank three or four. Concerning the $T^2$-links of rank three, we determine the triple point numbers and we see that their link types are infinitely many.


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Inasa NAKAMURA. "Surface links with free abelian groups." J. Math. Soc. Japan 66 (1) 247 - 256, January, 2014.


Published: January, 2014
First available in Project Euclid: 24 January 2014

zbMATH: 1297.57056
MathSciNet: MR3161400
Digital Object Identifier: 10.2969/jmsj/06610247

Primary: 57Q45
Secondary: 57Q35

Keywords: link group , surface link , triple point number

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 1 • January, 2014
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