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ISSN 1088-6850(e) ISSN 0002-9947(p)

Stable representatives for symmetric automorphisms of groups and the general form of the Scott conjecture

Author(s): Mihalis Sykiotis
Journal: Trans. Amer. Math. Soc. 356 (2004), 2405-2441.
MSC (2000): Primary 20E36, 20E08, 20E06
Posted: November 12, 2003
MathSciNet review: 2048523
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Abstract: Let be a group acting on a tree such that all edge stabilizers are finite. We extend Bestvina-Handel's theory of train tracks for automorphisms of free groups to automorphisms of which permute vertex stabilizers. Using this extension we show that there is an upper bound depending only on for the complexity of the graph of groups decomposition of the fixed subgroups of such automorphisms of .

References:

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