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WHEN IS THE AUTOMORPHISM GROUP OF A VIRTUALLY POLYCYCLIC GROUP VIRTUALLY POLYCYCLIC?

Published online by Cambridge University Press:  10 September 2003

BETTINA EICK
BETTINA EICK
Affiliation:
Institute of Geometry, Technische Universität Braunschweig, D-38106 Braunschweig, Germany e-mail: beick@tu-bs.de
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Abstract

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The automorphism group of a virtually polycyclic group $G$ is either virtually polycyclic or it contains a non-abelian free subgroup. We describe conditions on the structure of $G$ to decide which of the two alternatives occurs for $Aut(G).$

Keywords

Primary 20F1620F28
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 3 , September 2003 , pp. 527 - 533
Copyright
© 2003 Glasgow Mathematical Journal Trust