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Proper actions of discrete groups of affine transformations

Published 21 Feb 2020 in math.GR, math.DG, and math.GT | (2002.09520v1)

Abstract: 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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