On Symmetry of Flat Manifolds
Lutowski, Rafał
Experiment. Math., Tome 18 (2009) no. 1, p. 201-204 / Harvested from Project Euclid
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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.
Publié le : 2009-05-15
Classification:  Bieberbach groups,  directly indecomposable groups,  20H15,  20F34,  57S30 
@article{1259158430,
     author = {Lutowski, Rafa\l },
     title = {On Symmetry of Flat Manifolds},
     journal = {Experiment. Math.},
     volume = {18},
     number = {1},
     year = {2009},
     pages = { 201-204},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1259158430}
}

Lutowski, Rafał. On Symmetry of Flat Manifolds. Experiment. Math., Tome 18 (2009) no. 1, pp.  201-204. http://gdmltest.u-ga.fr/item/1259158430/