A dendrological proof of the Scott conjecture for automorphisms of free groups

被引:7
作者
Gaboriau, D [1 ]
Levitt, G
Lustig, M
机构
[1] ENS, CNRS, UMR 128, UMPA, F-69364 Lyon 07, France
[2] Ruhr Univ Bochum, D-44780 Bochum, Germany
[3] Univ Toulouse 3, CNRS, UMR 5580, Lab Emile Picard, F-31062 Toulouse 4, France
关键词
D O I
10.1017/S0013091500019684
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let alpha be an automorphism of a free group of rank n. The Scott conjecture, proved by Bestvina-Handel, asserts that the fixed subgroup of alpha has rank at most n. We give a short alternative proof of this result using R-trees.
引用
收藏
页码:325 / 332
页数:8
相关论文
共 10 条
[1]   TRAIN TRACKS AND AUTOMORPHISMS OF FREE GROUPS [J].
BESTVINA, M ;
HANDEL, M .
ANNALS OF MATHEMATICS, 1992, 135 (01) :1-51
[2]   ON THE DYNAMICS AND THE FIXED SUBGROUP OF A FREE GROUP AUTOMORPHISM [J].
COHEN, MM ;
LUSTIG, M .
INVENTIONES MATHEMATICAE, 1989, 96 (03) :613-638
[3]   AN AUTOMORPHISM OF A FREE GROUP OF FINITE RANK WITH MAXIMAL RANK FIXED-POINT SUBGROUP FIXES A PRIMITIVE ELEMENT [J].
COLLINS, DJ ;
TURNER, EC .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 88 (1-3) :43-49
[4]  
CULLER M, 1987, P LOND MATH SOC, V55, P571
[5]  
GABORIAU D, 1995, ANN SCI ECOLE NORM S, V28, P549
[6]  
GABORIAU D, IN PRESS DUKE MATH J
[7]  
LUSTIG M, IN PRESS COMM ALGEBR
[8]   FIXED-POINTS OF AUTOMORPHISMS OF HYPERBOLIC-GROUPS [J].
PAULIN, F .
ANNALES DE L INSTITUT FOURIER, 1989, 39 (03) :651-662
[9]   The Nielsen-Thurston classification and automorphisms of a free group I [J].
Sela, Z .
DUKE MATHEMATICAL JOURNAL, 1996, 84 (02) :379-397
[10]  
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