Abstract
We prove that the outer automorphism groups of tree products of finitely many polycyclic-by-finite groups amalgamating central edge groups are residually finite. As a consequence, the outer automorphism groups of tree products of finitely many abelian groups are residually finite.
Received: 2006-05-16
Revised: 2006-08-08
Published Online: 2007-06-18
Published in Print: 2007-05-23
© Walter de Gruyter
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Articles in the same Issue
- Transitivity properties for group actions on buildings
- Fields, values and character extensions in finite groups
- Primitive sharp permutation groups with large solvable subgroups
- On the size of the nilpotent residual in finite groups
- On the commuting complex of finite metanilpotent groups
- Soluble normally constrained pro-p-groups
- Comparing quasi-finitely axiomatizable and prime groups
- A finitely presented torsion-free simple group
- Andrews–Curtis groups and the Andrews–Curtis conjecture
- Residual finiteness of outer automorphism groups of certain tree products
- Commutator subgroups of Hantzsche–Wendt groups