Uncountable cofinalities of automorphism groups of linear and partial orders

被引：5
|
作者：
Droste, Manfred [1 ]
Truss, John K. [2 ]
机构：
[1] Univ Leipzig, Inst Informat, D-04009 Leipzig, Germany
[2] Univ Leeds, Dept Math, Leeds LS2 9JT, W Yorkshire, England
来源：
ALGEBRA UNIVERSALIS | 2009年 / 62卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
cofinality; partial order; cycle-free; INFINITE; SUBGROUPS; PROPERTY;
D O I：
10.1007/s00012-010-0040-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We demonstrate the uncountable cofinality of the automorphism groups of various linear and partial orders. We also relate this to the 'Bergman' property, and discuss cases where this may fail even though the cofinality is uncountable.
引用
收藏
页码：75 / 90
页数：16
相关论文
共 50 条
  • [1] Uncountable cofinalities of automorphism groups of linear and partial orders
    Manfred Droste
    John K. Truss
    [J]. Algebra universalis, 2009, 62 : 75 - 90
  • [2] Uncountable cofinalities of permutation groups
    Droste, M
    Göbel, R
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2005, 71 : 335 - 344
  • [3] AUTOMORPHISM GROUPS OF PARTIAL ORDERS
    BIRD, EH
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (05) : 1011 - 1015
  • [4] Cofinalities of linear orders
    Gitik, M
    Löwe, B
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1999, 16 (02): : 105 - 111
  • [5] Cofinalities of Linear Orders
    Moti Gitik
    Benedikt Löwe
    [J]. Order, 1999, 16 : 105 - 111
  • [6] AUTOMORPHISM GROUPS OF PARTIAL ORDERS - NOTE
    STONE, MG
    [J]. DISCRETE MATHEMATICS, 1978, 22 (03) : 313 - 314
  • [7] On universal words for automorphism groups of linear orders
    Welch, LV
    Adeleke, SA
    [J]. ORDERED ALGEBRAIC STRUCTURES, 1997, : 315 - 332
  • [8] Uncountable homogeneous partial orders
    Droste, M
    Macpherson, D
    Mekler, A
    [J]. MATHEMATICAL LOGIC QUARTERLY, 2002, 48 (04) : 525 - 532
  • [9] External cofinalities and the antichain condition in partial orders
    Gorelic, I
    [J]. ANNALS OF PURE AND APPLIED LOGIC, 2006, 140 (1-3) : 104 - 109
  • [10] On full groups of measure-preserving and ergodic transformations with uncountable cofinalities
    Droste, Manfred
    Holland, W. Charles
    Ulbrich, Georg
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 : 463 - 472
12345