Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings
AbstractWe 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.
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Berglund, M.; Cantarella, J.; Casey, M.P.; Dannenberg, E.; George, W.; Johnson, A.; Kelley, A.; LaPointe, A.; Mastin, M.; Parsley, J.; Rooney, J.; Whitaker, R. Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings. Symmetry 2012, 4, 143-207.
Berglund M, Cantarella J, Casey MP, Dannenberg E, George W, Johnson A, Kelley A, LaPointe A, Mastin M, Parsley J, Rooney J, Whitaker R. Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings. Symmetry. 2012; 4(1):143-207.Chicago/Turabian Style
Berglund, Michael; Cantarella, Jason; Casey, Meredith Perrie; Dannenberg, Eleanor; George, Whitney; Johnson, Aja; Kelley, Amelia; LaPointe, Al; Mastin, Matt; Parsley, Jason; Rooney, Jacob; Whitaker, Rachel. 2012. "Intrinsic Symmetry Groups of Links with 8 and Fewer Crossings." Symmetry 4, no. 1: 143-207.