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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On uniformly amenable groups


Author: Janusz Wysoczański
Journal: Proc. Amer. Math. Soc. 102 (1988), 933-938
MSC: Primary 43A07
DOI: https://doi.org/10.1090/S0002-9939-1988-0934870-X
MathSciNet review: 934870
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Abstract: We consider the conditions of the uniform amenability of discrete groups. The equivalence of the uniform Følner and Kesten conditions is proved. Also an example of the group which is amenable but not uniformly amenable is given.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0934870-X
Keywords: Amenable groups, uniform amenability, ultrapowers of groups
Article copyright: © Copyright 1988 American Mathematical Society