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Proper actions of discrete groups of affine transformations

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arxiv 2002.09520 v1 pith:NZTXMGMK submitted 2020-02-21 math.GR math.DGmath.GT

Jeffrey Danciger , Todd A. Drumm , William M. Goldman , Ilia Smilga This is my paper · ORCID
classification math.GRmath.DGmath.GT
keywords actionsaffinegroupsproperquestionansweringbackgrounddirections
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In the early 1980's Margulis startled the world by showing the existence of proper affine actions of free groups on 3-space, answering a provocative and suggestive question Milnor posed in 1977. In this paper we discuss the historical background motivating this question, recent progress on this subject, and future directions inspired by this discovery.

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Cited by 1 Pith paper

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  1. Entropy and affine actions for surface groups

    math.DG 2019-08 conditional novelty 6.0 of 10

    Surface groups whose linear part is a Hitchin representation admit no proper affine action, re-proved here from entropy and thermodynamic formalism.

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