上海大学学报(英文版)
上海大學學報(英文版)
상해대학학보(영문판)
JOURNAL OF SHANGHAL UNIVERSITY
2000年
2期
101-105
,共5页
free group%highly ordered-transitive representation%direct product of groups%inverse limit of free groups
A.M.W. Glass and S. H. McCleary have given the 2-transitive representation of the countable free l-group Fη (1<η≤w0). In this paper we shall give the highly ordered-transitive representation of countable free groups on the rational line Q, which generalizes their results. As applications, we obtain the highly ordered-transitive representation for the direct product of countable free groups, and the inverse limit of countable free groups must be an action on the set Q.