中文摘要：

讨论了稳定同伦正则态射的一些性质,由此构造同伦群的一个正规子群,称之为稳定同伦正则群.作为在同伦群上的一个应用,给出稳定同伦正则群同稳定同伦群和同伦群之间的一种关系.作为例子,最后给出一些低维球面的稳定同伦正则群的计算.

英文摘要：

Some properties of stable homotopy regular morphisms are discussed.Then,a subgroup of homotopy group which is called the stable homotopy regular group will be constructed.As an application in homotopy group,the relation of stable homotopy regular group with the homotopy group and the stable homotopy group will be interpreted.As examples,the stable homotopy regular groups of low dimensional spheres will be computed.