Cellular Covers of Local Groups

被引：2
|
作者：
Flores, Ramon [1 ]
Scherer, Jerome [2 ]
机构：
[1] Univ Seville, Dept Geometria & Topol, E-41080 Seville, Spain
[2] Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 06期
关键词：
LOCALIZATIONS;
D O I：
10.1007/s00009-018-1273-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
引用
收藏
页数：11
相关论文
共 50 条
  • [11] Covers and normal covers of finite groups
    Garonzi, Martino
    Lucchini, Andrea
    JOURNAL OF ALGEBRA, 2015, 422 : 148 - 165
  • [12] Covers of groups
    Chacholski, W.
    ALPINE EXPEDITION THROUGH ALGEBRAIC TOPOLOGY, 2014, 617 : 109 - 131
  • [13] On kernels of cellular covers
    Farjoun, Emmanuel D.
    Gobel, Rudiger
    Segev, Yoav
    Shelah, Saharon
    GROUPS GEOMETRY AND DYNAMICS, 2007, 1 (04) : 409 - 419
  • [14] Block Covers and Module Covers of Finite Groups
    樊恽
    数学进展, 1987, (02) : 219 - 219
  • [15] Envelopes and covers for groups
    Estrada, Sergio
    Rodriguez, Jose L.
    GROUPS GEOMETRY AND DYNAMICS, 2018, 12 (01) : 107 - 120
  • [16] On Cellular Covers with Free Kernels
    Rodriguez, Jose L.
    Struengmann, Lutz
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (02) : 295 - 304
  • [17] Cellular approximations of p-local compact groups
    Castellana, Natalia
    Flores, Ramon
    Gavira-Romero, Alberto
    JOURNAL OF TOPOLOGY, 2019, 12 (04) : 1093 - 1114
  • [18] On Cellular Covers with Free Kernels
    José L. Rodríguez
    Lutz Strüngmann
    Mediterranean Journal of Mathematics, 2012, 9 : 295 - 304
  • [19] On covers of abelian groups by cosets
    Lettl, Guenter
    Sun, Zhi-Wei
    ACTA ARITHMETICA, 2008, 131 (04) : 341 - 350
  • [20] Abelian covers of alternating groups
    Barrantes, Daniel
    Gill, Nick
    Ramirez, Jeremias
    ARCHIV DER MATHEMATIK, 2016, 107 (02) : 135 - 150
12345