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has been cited by the following article:

• TITLE: Monotileable Amenable Groups: An Application

  AUTHORS: Amal Mohammed Ahmed Gaweash, Hayat Yousuf Ismail Bakur, Mariam Almahdi Mohammed Mulla

  KEYWORDS: Varieties of Groups, Abelian Groups, Multiplication, Amenable Groups, Lie Group, Følner Sequence

  JOURNAL NAME: Open Access Library Journal, Vol.8 No.1, January 29, 2021

  ABSTRACT: 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 l2-Betti number of G with that of the stabilizer subgroups.