Laminations, trees, and irreducible automorphisms of free groups

被引:122
作者
Bestvina, M
Feighn, M
Handel, M
机构
[1] RUTGERS STATE UNIV,DEPT MATH,NEWARK,NJ 07102
[2] CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
基金
美国国家科学基金会;
关键词
D O I
10.1007/PL00001618
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We examine the action of Out(F-n) on the set of (irreducible) laminations. Consequences include a special case of the Tits alternative for Out(F-n), the discreteness of certain naturally arising group actions on trees, and word hyperbolicity of certain semidirect products.
引用
收藏
页码:215 / 244
页数:30
相关论文
共 31 条
[1]  
[Anonymous], SOVIET MATH DOKL
[2]   Automorphism groups of tree actions and of graphs of groups [J].
Bass, H ;
Jiang, RF .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 112 (02) :109-155
[3]  
BASS HYMAN, 1992, CONT MATH, V169, P45
[4]   TRAIN TRACKS AND AUTOMORPHISMS OF FREE GROUPS [J].
BESTVINA, M ;
HANDEL, M .
ANNALS OF MATHEMATICS, 1992, 135 (01) :1-51
[5]  
Bestvina M, 1996, J DIFFER GEOM, V43, P783
[6]  
BESTVINA M, 1992, J DIFFER GEOM, V35, P85
[7]  
BESTVINA M, 1996, TITS ALTERNATIVE OUT, V2
[8]  
Bestvina M., 1992, Outer Limits
[9]  
BESTVINA M, 1997, SOLVABLE SUBGROUPS O
[10]  
BESTVINA M, 1996, TITS ALTERNATIVE OUT, V1