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Finitely generated groups with virtually free automorphism groups

Published online by Cambridge University Press:  20 January 2009

Martin R. Pettet
Martin R. Pettet
Affiliation:
Department of Mathematiics, University of Toledo, Toledo, Ohio 43606, U.S.A.
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Abstract

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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

References

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