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

Author:
Mihalis Sykiotis

Journal:
Trans. Amer. Math. Soc. **356** (2004), 2405-2441

MSC (2000):
Primary 20E36, 20E08, 20E06

DOI:
https://doi.org/10.1090/S0002-9947-03-03385-3

Published electronically:
November 12, 2003

MathSciNet review:
2048523

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 .

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Additional Information

**Mihalis Sykiotis**

Affiliation:
Department of Mathematics, University of Athens, Athens 15784, Greece

Address at time of publication:
Amalthias 18, Larisa 41222, Greece

Email:
msikiot@cc.uoa.gr

DOI:
https://doi.org/10.1090/S0002-9947-03-03385-3

Received by editor(s):
July 24, 2002

Received by editor(s) in revised form:
April 17, 2003

Published electronically:
November 12, 2003

Article copyright:
© Copyright 2003
American Mathematical Society