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A-T-menability of groups

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Title: A-T-menability of groups
Authors: Lu, Ni Yen
Advisor: Guentner, Erik
Issue Date: 2011
Publisher: University of Hawaii at Manoa
Abstract: This paper presents a detailed study of a-T-menable discrete groups. Starting with several conditions required for a-T-menability, we prove that they are equivalent and hence charaterize a class of a-T-menable discrete groups. We then show that the free groups on two generators is a-T-menable. Using the infnite cyclic group, we succesfully draw a rigid connection –from the perspective of affine isometric actions –between amenable groups and a-T-menable groups. We also prove that the quotient of an a-T-menable group by a finite normal subgroup is a-T-menable. We conclude with a new proof that the free product of two a-T-menable groups is a-T-menable.
Description: Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2011
Pages/Duration: 32 pages
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:M.A. Plan B Theses- Mathematics Department

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