Geodesic
Almost-Bieberbach groups with (in)finite outer automorphism group
Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 47-62

Voir la notice de l'article provenant de la source Cambridge University Press

If we investigate symmetry of an infra-nilmanifold M, the outer automorphism group of its fundamental group (an almost-Bieberbach group) is known to be a crucial object. In this paper, we characterise algebraically almost-Bieberbach groups E with finite outer automorphism group Out(E). Inspired by the description of Anosov diffeomorphisms on M, we also present an interesting class of infinite order outer automorphisms. Another possible type of infinite order outer automorphisms arises when comparing Out(E) with the outer automorphism group of the underlying crystallographic group of E. 
Malfait, Wim; Szczepański, Andrzej. Almost-Bieberbach groups with (in)finite outer automorphism group. Glasgow mathematical journal, Tome 40 (1998) no. 1, pp. 47-62. doi: 10.1017/S0017089500032341
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