Automorphism groups of totally ordered sets: A retrospective survey

Mathematica Slovaca

M. Droste¹  A. Glass¹  V. Bludov¹ 

关键词: totally ordered set;    permutation group;    representation;    primitive permutation group;    amalgamation;    free product with amalgamated subgroup;    right-orderable group;    normal subgroups;    Bergman property;    outer automorphism groups;   

DOI  :  10.2478/s12175-011-0018-1

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In 1963, W. Charles Holland proved that every lattice-ordered group can be embedded in the lattice-ordered group of all order-preserving permutations of a totally ordered set. In this article we examine the context and proof of this result and survey some of the many consequences of the ideas involved in this important theorem.

【 授权许可】

Unknown