群的融合自由积的恰当性与顺从性

The Exactness and Amenability of the Amalgamated Free Products of Groups

研究了Ｆ群的恰当性与顺从性．证明了这类群在关系子（ｒｅｌａｔｏｒ）为无穷阶时，顺从性与恰当性是等价的；详细探讨了这类群的顺从性．

In this paper, we deal with the exactness and amenability of groups of type F. We have also proved that if the rank of the group's relator is infinite,it's exactness and amenability are equivalent. In the paper,the amenability of groups of type F is studied in detail.