关于无限可解群的一些结果

Some results on infinite soluble groups

设G是个有限生成的超Abel群,若G的任意2-生成的子群具有某些特殊的群论性质P,则G也具有这个性质P.

Let G be a finitely generated hyperabelian group,and P be some group-theoretic property. It is proved that G must have the property P if every 2-generated subgroup of G has P.