一类群的同调对偶性

研究了由有限群与一个无扭群生成的群的同调对偶性问题．其结果与Ｆａｒｒｅｌ上同调理论中的相应结果是互不涵盖的．通过对群关于其子群的相对（上）同调的研究，将上述类型群的讨论纳入某种有限类型的复形链研究之中，从而给出了有一般意义的方法．

Duality theory of (Co) homology of a kind of groups

The duality theory of a group generated by a finite subgroup and a torsion-freesubgroup is studied, which is parallel to the corresponding theorems in the Farrel cohmologytheory. In fact, by using the relative homology theory of group over its subgroups one caninclude the (Co) homology problem of groups mentioned above into the study of somecomplexes of finite type.