主要探讨了秩大于或者等于ρ-1的可除阿贝尔ρ群的ρ自同构群,并且得到这些ρ-自同构如何作用在该可除阿贝尔ρ-群上。这些结论有助于进一步理解Cernikov ρ-群的结构。
The authors investigate how the ρ-automorphism of a divisible Abelian ρ-group G of rank ρ-1 or ρ acts on the group G and get the order of ρ-automorphism groups of a divisible Abelian ρ-group of rank ρ-1 or ρ. These results are helpful to get a description of the detailed structure of Cernikov ρ-group.