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Finitely generated groups with virtually free automorphism groups
Published online by Cambridge University Press: 20 January 2009
Abstract
It is shown that the full automorphism group of a finitely generated group G is virtually free if and only if the center Z(G) is finitely generated of torsion-free rank r at most two and, depending on the value of r, the central quotient G/Z(G) belongs to one of three precisely defined classes of virtually free groups. Some consequences and special cases are also discussed.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 3 , October 1995 , pp. 475 - 484
- Copyright
- Copyright © Edinburgh Mathematical Society 1995
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