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On the Hantzsche-Wendt manifold
Authors:B Zimmermann
Institution:(1) Dipartimento di Scienze Matematiche, Universitá degli Studi di Trieste, I-34100 Trieste, Italy
Abstract:We explicitly compute the outer automorphism group Out pgr1 M of the fundamental group of the Hantzsche — Wendt manifoldM. It is an extension 1rarr(Zopf2)3rarrOutpgr1 MrarrS 3oplusZopf2rarr1, but not the semidirect product (Zopf2)3ltimes(S 3oplusZopf2) as claimed in 3] (see also 4]). As a consequence, we get a quick algebraic computation of the symmetry groups of the Borromean rings and the figure-8-knot.
Keywords:
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