摘要
自由群Fη(1<η≤ 0)在有理数集Q上有一个高可迁表示,若T是无理数集上的一个任意可数稠密子集,则可使得T是^Fη的一个轨道且对任意e≠ w^∈^Fη变换T中的每一个点.
The free group Fη（1 〈 η≤卐0） has a highly transitive representation in the rational line Q, Let T be any countable dense subset of the irrational, it can be arranged that T be an orbit of Fη and that every e ≠ w∈ Fη move every point in T.
基金
Supported by the natural science research foundation itemof Anhui Province(99047217)
thenatural science researchfoundationitemof Anhui Province Depart ment of Education(2005KJ399) .
关键词
自由群
高可迁表示
可数稠密子集
free group
highly transitive representation
countable dense subset
