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2018 Semidualities from products of trees
Daniel Studenmund, Kevin Wortman
Geom. Topol. 22(3): 1717-1758 (2018). DOI: 10.2140/gt.2018.22.1717

Abstract

Let K be a global function field of characteristic p , and let Γ be a finite-index subgroup of an arithmetic group defined with respect to K and such that any torsion element of Γ is a p –torsion element. We define semiduality groups, and we show that Γ is a [ 1 p ] –semiduality group if Γ acts as a lattice on a product of trees. We also give other examples of semiduality groups, including lamplighter groups, Diestel–Leader groups, and countable sums of finite groups.

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Daniel Studenmund. Kevin Wortman. "Semidualities from products of trees." Geom. Topol. 22 (3) 1717 - 1758, 2018. https://doi.org/10.2140/gt.2018.22.1717

Information

Received: 13 November 2016; Revised: 26 April 2017; Accepted: 14 July 2017; Published: 2018
First available in Project Euclid: 31 March 2018

zbMATH: 06864266
MathSciNet: MR3780444
Digital Object Identifier: 10.2140/gt.2018.22.1717

Subjects:
Primary: 20G10
Secondary: 57M07, 57Q05

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.22 • No. 3 • 2018
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