Lone axes in outer space

被引：6
作者：
Mosher, Lee [1 ]
Pfaff, Catherine [2 ]
机构：
[1] Rutgers Univ Newark, Dept Math & Comp Sci, Newark, NJ 07102 USA
[2] Univ Calif Santa Barbara, Dept Math, South Hall,Room 6607, Santa Barbara, CA 93106 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2016年 / 16卷 / 06期
基金：
美国国家科学基金会;
关键词：
IDEAL WHITEHEAD GRAPHS; AUTOMORPHISMS; DYNAMICS;
D O I：
10.2140/agt.2016.16.3385
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in [Mem. Amer. Math. Soc. 1004 (2011)]. We give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group Out (F-r) have conjugate powers.
引用
收藏
页码：3385 / 3418
页数：34
相关论文
共 23 条
  • [1] The Tits alternative for out(Fn) I:: Dynamics of exponentially-growing automorphisms
    Bestvina, M
    Feighn, M
    Handel, M
    [J]. ANNALS OF MATHEMATICS, 2000, 151 (02) : 517 - 623
  • [2] TRAIN TRACKS AND AUTOMORPHISMS OF FREE GROUPS
    BESTVINA, M
    HANDEL, M
    [J]. ANNALS OF MATHEMATICS, 1992, 135 (01) : 1 - 51
  • [3] Bestvina M., 1994, Outer limits
  • [4] Bridson M.R., 2006, Problems on Mapping Class Groups and Related Topics, P301, DOI [10.1090/pspum/074/2264548, DOI 10.1090/PSPUM/074/2264548]
  • [5] Coulbois T., 2012, FREE GROUP AUTOMORPH
  • [6] MODULI OF GRAPHS AND AUTOMORPHISMS OF FREE GROUPS
    CULLER, M
    VOGTMANN, K
    [J]. INVENTIONES MATHEMATICAE, 1986, 84 (01) : 91 - 119
  • [7] FATHI A, 1979, ASTERISQUE, V66
  • [8] The Recognition Theorem for Out(Fn)
    Feighnand, Mark
    Handel, Michael
    [J]. GROUPS GEOMETRY AND DYNAMICS, 2011, 5 (01) : 39 - 106
  • [9] An index for counting fixed points of automorphisms of free groups
    Gaboriau, D
    Jaeger, A
    Levitt, G
    Lustig, M
    [J]. DUKE MATHEMATICAL JOURNAL, 1998, 93 (03) : 425 - 452
  • [10] GABORIAU D, 1995, ANN SCI ECOLE NORM S, V28, P549
123