Computing Bredon homology of groups

被引:2
|
作者
Bui, A. T. [1 ]
Ellis, Graham [2 ]
机构
[1] Univ Sci, VNU, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam
[2] Natl Univ Ireland, Sch Math, Galway, Ireland
关键词
Bredon homology and cohomology; Bredon module; Classifying space for proper actions; Cohomology of groups; EQUIVARIANT K-HOMOLOGY; ARTIN GROUPS; CRYSTALLOGRAPHIC GROUPS; COXETER GROUPS; RESOLUTIONS; COHOMOLOGY;
D O I
10.1007/s40062-016-0146-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational algebra and the paper is intended to aid those wishing to extend that implementation to their own needs.
引用
收藏
页码:715 / 734
页数:20
相关论文
共 50 条
  • [1] Computing Bredon homology of groups
    A. T. Bui
    Graham Ellis
    [J]. Journal of Homotopy and Related Structures, 2016, 11 : 715 - 734
  • [2] BREDON HOMOLOGY OF WALLPAPER GROUPS
    Flores, Ramon
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (06) : 1497 - 1522
  • [3] On Bredon homology of elementary amenable groups
    Flores, Ramon J.
    Nucinkis, Brita E. A.
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (01) : 5 - 11
  • [4] Bredon homology of Artin groups of dihedral type
    Antolin, Yago
    Flores, Ramon
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (11)
  • [5] Hecke operators in Bredon (co)homology, K-(co)homology and Bianchi groups
    Munoz, David
    Plazas, Jorge
    Velasquez, Mario
    [J]. JOURNAL OF TOPOLOGY AND ANALYSIS, 2024, 16 (01) : 21 - 52
  • [6] BREDON HOMOLOGY OF PARTITION COMPLEXES
    Arone, G. Z.
    Dwyer, W. G.
    Lesh, K.
    [J]. DOCUMENTA MATHEMATICA, 2016, 21 : 1227 - 1268
  • [7] An algorithm for computing homology groups
    Groves, JRJ
    [J]. JOURNAL OF ALGEBRA, 1997, 194 (02) : 331 - 361
  • [8] A spectral sequence in Bredon (co)homology
    Martínez-Pérez, C
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 176 (2-3) : 161 - 173
  • [9] BROWN'S CRITERION IN BREDON HOMOLOGY
    Fluch, Martin G.
    Witzel, Stefan
    [J]. HOMOLOGY HOMOTOPY AND APPLICATIONS, 2013, 15 (02) : 153 - 162
  • [10] An isomorphism between Bredon and Quinn homology
    Talbert, RN
    [J]. FORUM MATHEMATICUM, 1999, 11 (05) : 591 - 616