%0 Journal Article
%T Monotileable Amenable Groups: An Application
%A Amal Mohammed Ahmed Gaweash
%A Hayat Yousuf Ismail Bakur
%A Mariam Almahdi Mohammed Mulla
%J Open Access Library Journal
%V 8
%N 1
%P 1-15
%@ 2333-9721
%D 2021
%I Open Access Library
%R 10.4236/oalib.1107012
%X We study actions of countable discrete groups which are Monotileable amenable groups in the sense that there exists a mean on X which is invariant under the action of G. Assuming that G is nonamenable, we obtain structural results for the stabilizer subgroups of amenable actions which allow us to relate the first l<sup>2</sup>-Betti number of G with that of the stabilizer subgroups.
%K Varieties of Groups
%K Abelian Groups
%K Multiplication
%K Amenable Groups
%K Lie Group
%K Folner Sequence
%U http://www.oalib.com/paper/6322761