01 October 2005 Amenability via random walks
Laurent Bartholdi, Bálint Virág
Author Affiliations +
Duke Math. J. 130(1): 39-56 (01 October 2005). DOI: 10.1215/S0012-7094-05-13012-5

Abstract

We use random walks to show that the Basilica group is amenable and thus answering an open question of Grigorchuk and Żuk [9]. Our results separate the class of amenable groups from the closure of subexponentially growing groups under the operations of group extension and direct limits; these classes are separated even within the realm of finitely presented groups.

Citation

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Laurent Bartholdi. Bálint Virág. "Amenability via random walks." Duke Math. J. 130 (1) 39 - 56, 01 October 2005. https://doi.org/10.1215/S0012-7094-05-13012-5

Information

Published: 01 October 2005
First available in Project Euclid: 12 November 2005

zbMATH: 1104.43002
MathSciNet: MR2176547
Digital Object Identifier: 10.1215/S0012-7094-05-13012-5

Subjects:
Primary: 20E34 , 60G50

Rights: Copyright © 2005 Duke University Press

Vol.130 • No. 1 • 01 October 2005
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