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2004 A lower bound to the action dimension of a group
Sung Yil Yoon
Algebr. Geom. Topol. 4(1): 273-296 (2004). DOI: 10.2140/agt.2004.4.273

Abstract

The action dimension of a discrete group Γ, actdim(Γ), is defined to be the smallest integer m such that Γ admits a properly discontinuous action on a contractible m–manifold. If no such m exists, we define actdim(Γ). Bestvina, Kapovich, and Kleiner used Van Kampen’s theory of embedding obstruction to provide a lower bound to the action dimension of a group. In this article, another lower bound to the action dimension of a group is obtained by extending their work, and the action dimensions of the fundamental groups of certain manifolds are found by computing this new lower bound.

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Sung Yil Yoon. "A lower bound to the action dimension of a group." Algebr. Geom. Topol. 4 (1) 273 - 296, 2004. https://doi.org/10.2140/agt.2004.4.273

Information

Received: 28 March 2003; Accepted: 9 February 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1054.57037
MathSciNet: MR2059192
Digital Object Identifier: 10.2140/agt.2004.4.273

Subjects:
Primary: 20F65
Secondary: 57M60

Rights: Copyright © 2004 Mathematical Sciences Publishers

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Vol.4 • No. 1 • 2004
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