关于局部紧群G的Γ－顺从性的若干问题  

Some Problems about Amenability with Respect to a Closed Subgroup of a Product Group

作　　者：贡韶红[1] 

机构地区：[1]新疆大学数学系

出　　处：《新疆大学学报（自然科学版）》1994年第3期43-49,共7页Journal of Xinjiang University(Natural Science Edition)

摘　　要：设Ｇ为局部紧群，Γ为拓扑直积群Ｇ×Ｇ的闭子群，本文对Γ－顺从群的稳定特征问题，即当Ｇ为Γ－顺从时．其连续同态像、子群及商群的相应性质问题进行了探讨，推广了顺从群及内顺从群的有关结论．此外．文中还分析了Ｇ为Γ－顺从与Γ具有不动点性质间的关系问题．Let C be a locally compact group and Γ be a closed subgroup of the topological product group G × C. In this paper we study the stable characters of Γ- amenable groups, which concern the responsive properties of the homomorphic images, Subgroups and quotient groups of G when G is Γ- amenable. Some relative results of amenable groups and inner amenable groups are extended. In addition, the relation between that G is Γ-amenable and that Γ has the fixed point property is also analysed in this paper.

关 键 词：Г-顺从群 稳定特征 局部紧群 

分 类 号：O152[理学—数学]