自由群的高可迁表示  

Highly Transitive Representation for Free Groups

作　　者：陆炳新[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,南京210097

出　　处：《上海大学学报（自然科学版）》2005年第6期596-599,共4页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(19871041);南京师范大学青年基金资助项目

摘　　要：给出自由群Fη(2≤η≤χ0)在有理数集Q上的一个高O-可迁表示;也给出Fη(2≤η≤χ0)在自然数集N上的一个高O-可迁表示.An ordered groups is highly transitive if it is n-transitive for every natural number n. A group G of order-preserving permutations of the rational line Q is highly transitive if, for every α1 〈 … 〈αn and β1 〈… 〈βn in Q, there exists g∈G such that αig = βi, i = 1,2,…, n. The free group Fη （2≤ η≤χ0） can be faithfully represented as a highly order-transitive group of order-preserving permutations of Q, and also as a highly transitive group on the positive integers set N.

关 键 词：自由群 自由格序群 高可迁表示 

分 类 号：O153.1[理学—数学]