可数群的自由积的注解(英文)

Remarks on Free Products of Countable Groups

给出可数自由群Fη和可数右序群G的自由积Fη∪G在有理数集Q上的一个高序可迁表示.进一步,若A是无理数集的一个可数稠密子集,则A是Fη∪G的表示的一个轨道.

We have given a highly orderedtransitive representation on Q for the free product Fη∪G of a countable free group Fη and a countable right order group G.Furthermore,if A is a countable dense subset of the irrationals,the A can be an orbit of the representation of Fη∪G.