A DENDROLOGICAL PROOF OF THE SCOTT CONJECTURE FOR AUTOMORPHISMS OF FREE GROUPS

Citation
D. Gaboriau et al., A DENDROLOGICAL PROOF OF THE SCOTT CONJECTURE FOR AUTOMORPHISMS OF FREE GROUPS, Proceedings of the Edinburgh Mathematical Society, 41, 1998, pp. 325-332
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00130915
Volume
41
Year of publication
1998
Part
2
Pages
325 - 332
Database
ISI
SICI code
0013-0915(1998)41:<325:ADPOTS>2.0.ZU;2-M
Abstract
Let alpha be an automorphism of a free group of rank n. The Scott conj ecture, proved by Bestvina-Handel, asserts that the fixed subgroup of alpha has rank at most n. We give a short alternative proof of this re sult using R-trees.