Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T08:23:44.701Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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