Almost-Bieberbach groups with (in)finite outer automorphism group

DOI10.1017/S0017089500032341zbMath0913.20035MaRDI QIDQ4212565

Wim Malfait, Andrzej Szczepański

Publication date: 11 April 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fundamental groupsouter automorphism groupsdiffeomorphismscrystallographic groupsinfra-nilmanifoldsalmost-Bieberbach groups

Mathematics Subject Classification ID

Finite transformation groups (57S17) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (1)

Aspherical products which do not support Anosov diffeomorphisms

Cites Work

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• Extensions realising a faithful abstract kernel and their automorphisms
• The construction of affine structures on virtually nilpotent groups
• Outer automorphism groups of Bieberbach groups
• Anosov diffeomorphisms of flat manifolds
• Almost-crystallographic groups with many outer automorphisms
• Representing the automorphism group of an almost crystallographic group
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• There are No New Anosov Diffeomorphisms on Tori

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