Group Compliance

This paper introduce the amenability of group and some characterizations for amenability of group. There are some classical characterizations for amenability of group, such as:Fixed point property. Reiter’s Property(P1). Kesten’s charac-terization and Fφlner property. And lead to the amenability of Banach algebra, and the connection between the amenability of group and the amenability of Ba-nach algebra. For example:locally compact group G is amenable if and only if the Banach algebra L1(G) is amenable. The aim of this paper is two:1. We review some classical characterizations for amenability of group.2. we try introduce the amenability of some specific groups.