Classifying Spaces for the Family of Virtually Cyclic Subgroups of Braid Groups

被引:3
|
作者
Flores, Ramon [1 ]
Gonzalez-Meneses, Juan [2 ]
机构
[1] Univ Seville, Inst Matemat IMUS, Dept Geometria & Topol, Fac Matemat, Av Reina Mercedes S-N, Seville 41012, Spain
[2] Univ Seville, Fac Matemat, Inst Matemat IMUS, Dept Algebra, Av Reina Mercedes S-N, Seville 41012, Spain
关键词
GEOMETRIC DIMENSION;
D O I
10.1093/imrn/rny067
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that, for n >= 3, the minimal dimension of a model of the classifying space of the braid group B-n, and of the pure braid group P-n, with respect to the family of virtually cyclic groups is n.
引用
收藏
页码:1575 / 1600
页数:26
相关论文
共 50 条
  • [41] Classifying Groups With a Small Number of Subgroups
    Betz, Alexander
    Nash, David A.
    AMERICAN MATHEMATICAL MONTHLY, 2022, 129 (03): : 255 - 267
  • [42] SUBDIVISIONAL SPACES AND GRAPH BRAID GROUPS
    An, Byung Hee
    Drummond-Cole, Gabriel C.
    Knudsen, Ben
    DOCUMENTA MATHEMATICA, 2019, 24 : 1513 - 1583
  • [43] Braid groups in complex projective spaces
    Berceanu, Barbu
    Parveen, Saima
    ADVANCES IN GEOMETRY, 2012, 12 (02) : 269 - 286
  • [44] New collections of p-subgroups and homology decompositions for classifying spaces of finite groups
    Maginnis, John
    Onofrei, Silvia
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (07) : 2466 - 2480
  • [45] Virtually Free-by-Cyclic Groups
    Kielak, Dawid
    Linton, Marco
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2024, 34 (05) : 1580 - 1608
  • [46] The type of the classifying space for a family of subgroups
    Lück, W
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 149 (02) : 177 - 203
  • [47] The Thom spectra of the commutator subgroups of the generalized braid groups
    Ossa, E
    Vershinin, VV
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1998, 32 (04) : 219 - 226
  • [48] Pure braid subgroups of braided Thompson's groups
    Brady, Tom
    Burillo, Jose
    Cleary, Sean
    Stein, Melanie
    PUBLICACIONS MATEMATIQUES, 2008, 52 (01) : 57 - 89
  • [49] Topological complexity of subgroups of Artin's braid groups
    Grant, Mark
    Recio-Mitter, David
    TOPOLOGICAL COMPLEXITY AND RELATED TOPICS, 2018, 702 : 165 - 176
  • [50] The thom spectra of the commutator subgroups of the generalized braid groups
    E. Ossa
    V. V. Vershinin
    Functional Analysis and Its Applications, 1998, 32 : 219 - 226