Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings

Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings

We present an elementary derivation of the “intrinsic” symmetry groups for links of 8 or fewer crossings. We show that standard invariants are enough to rule out all potential symmetries outside the symmetry group of the group of the link for all but one of these links and present explicit isotopies...

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Bibliographic Details
Main Authors: Rachel Whitaker, Jacob Rooney, Matt Mastin, Jason Parsley, Aja Johnson, Al LaPointe, Amelia Kelley, Meredith Perrie Casey, Eleanor Dannenberg, Whitney George, Michael Berglund, Jason Cantarella
Format: Article
Language:English
Published: MDPI AG 2012-02-01
Series:Symmetry
Subjects:
knot
symmetry group of knot
link symmetry
Whitten group
Online Access:http://www.mdpi.com/2073-8994/4/1/143/

Internet

http://www.mdpi.com/2073-8994/4/1/143/

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