ON OUTER AUTOMORPHISMS OF HYPERBOLIC GROU PS

Authors
PAULIN F
Citation
F. Paulin, ON OUTER AUTOMORPHISMS OF HYPERBOLIC GROU PS, Annales Scientifiques de l'Ecole Normale Superieure, 30(2), 1997, pp. 147-167
Citations number
54
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
30
Issue
2
Year of publication
1997
Pages
147 - 167
Database
ISI
SICI code
0012-9593(1997)30:2<147:OOAOHG>2.0.ZU;2-Y
Abstract
We prove that an infinite nilpotent group of outer automorphisms in an y word-hyperbolic group fixes projectively an action on an R-tree. In particular, we give short proofs of the theorem that any outer automor phism of a free group has a fixed point in the compactified Culler-Vog tmann Outer Space, and of Scott's conjecture on the rank of the fixed points subgroup of a free group automorphism. ((1))