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On the Hantzsche-Wendt manifold (1990)

Zimmermann, B.

Springer

Monatshefte für Mathematik 110 (1990), S. 321-327

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ISSN: 1436-5081

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract We explicitly compute the outer automorphism group Out π1 M of the fundamental group of the Hantzsche — Wendt manifoldM. It is an extension 1→(ℤ2)3→Outπ1 M→S 3⊕ℤ2→1, but not the semidirect product (ℤ2)3⋉(S 3⊕ℤ2) 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01301685

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