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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.

Information

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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