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...
| Main Authors: | , , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2012-02-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2073-8994/4/1/143/ |
| _version_ | 1818040967121338368 |
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| author | 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 |
| author_facet | 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 |
| author_sort | Rachel Whitaker |
| collection | DOAJ |
| description | 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 generating the symmetry group for every link. |
| first_indexed | 2024-12-10T08:22:56Z |
| format | Article |
| id | doaj.art-e318a84ac7684483b907c8c679f06787 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-12-10T08:22:56Z |
| publishDate | 2012-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e318a84ac7684483b907c8c679f067872022-12-22T01:56:18ZengMDPI AGSymmetry2073-89942012-02-014114320710.3390/sym4010143Intrinsic Symmetry Groups of Links with 8 and Fewer CrossingsRachel WhitakerJacob RooneyMatt MastinJason ParsleyAja JohnsonAl LaPointeAmelia KelleyMeredith Perrie CaseyEleanor DannenbergWhitney GeorgeMichael BerglundJason CantarellaWe 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 generating the symmetry group for every link.http://www.mdpi.com/2073-8994/4/1/143/knotsymmetry group of knotlink symmetryWhitten group |
| spellingShingle | 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 Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings Symmetry knot symmetry group of knot link symmetry Whitten group |
| title | Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings |
| title_full | Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings |
| title_fullStr | Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings |
| title_full_unstemmed | Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings |
| title_short | Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings |
| title_sort | intrinsic symmetry groups of links with 8 and fewer crossings |
| topic | knot symmetry group of knot link symmetry Whitten group |
| url | http://www.mdpi.com/2073-8994/4/1/143/ |
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