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The Structure of the (Outer) Automorphism Group of a Bieberbach Group
Published online by Cambridge University Press: 04 December 2007
Abstract
Referring to Tits′ alternative, we develop a necessary and sufficient condition to decide whether the normalizer of a finite group of integral matrices is polycyclic-by-finite or is containing a non-Abelian free group. This result is of fundamental importance to conclude whether the (outer) automorphism group of a Bieberbach group is polycyclic-by-finite or has a non-cyclic free subgroup.
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- © 2003 Kluwer Academic Publishers
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