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2009 On Symmetry of Flat Manifolds
Rafał Lutowski
Experiment. Math. 18(2): 201-204 (2009).

Abstract

We give an example of a Bieberbach group $\Gamma$ for which $\Out(\Gamma)$ is a cyclic group of order $3$. We also calculate the outer automorphism group of a direct product of $n$ copies of a Bieberbach group with trivial center, for $n \in \mathbb{N}$. As a corollary we get that every symmetric group can be realized as an outer automorphism group of some Bieberbach group.

Citation

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Rafał Lutowski. "On Symmetry of Flat Manifolds." Experiment. Math. 18 (2) 201 - 204, 2009.

Information

Published: 2009
First available in Project Euclid: 25 November 2009

zbMATH: 1202.20052
MathSciNet: MR2549689

Subjects:
Primary: 20H15
Secondary: 20F34, 57S30

Rights: Copyright © 2009 A K Peters, Ltd.

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Vol.18 • No. 2 • 2009
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