Automorphisms of Coxeter groups

被引:2
作者
Bahls, P [1 ]
机构
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
关键词
Coxeter group; group automorphism;
D O I
10.1090/S0002-9947-05-03779-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We compute Aut( W) for any even Coxeter group whose Coxeter diagram is connected, contains no edges labeled 2, and cannot be separated into more than 2 connected components by removing a single vertex. The description is given explicitly in terms of the given presentation for the Coxeter group and admits an easy characterization of those groups W for which Out(W) is finite.
引用
收藏
页码:1781 / 1796
页数:16
相关论文
共 18 条
  • [1] Bahls P, 2004, TOPOL P, V28, P19
  • [2] Reflection independence in even Coxeter groups
    Bahls, P
    Mihalik, M
    [J]. GEOMETRIAE DEDICATA, 2005, 110 (01) : 63 - 80
  • [3] BAHLS P, 2003, CENTRALIZERS PARABOL
  • [4] BAHLS P, 2002, THESIS VANDERBILT U
  • [5] Bourbaki N., 2007, GROUPES ALGEBRES LIE, DOI [10.1007/978-3-540-34491-9, DOI 10.1007/978-3-540-34491-9]
  • [6] When is a Coxeter system determined by its Coxeter group?
    Charney, R
    Davis, M
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 61 : 441 - 461
  • [7] Automorphisms of Coxeter groups of rank 3 with infinite bonds
    Franzsen, WN
    [J]. JOURNAL OF ALGEBRA, 2002, 248 (01) : 381 - 396
  • [8] Automorphisms of Coxeter groups of rank three
    Franzsen, WN
    Howlett, RB
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (09) : 2607 - 2616
  • [9] GILBERT ND, 1987, P LOND MATH SOC, V54, P115
  • [10] On outer automorphism groups of Coxeter groups
    Howlett, RB
    Rowley, PJ
    Taylor, DE
    [J]. MANUSCRIPTA MATHEMATICA, 1997, 93 (04) : 499 - 513