Title

On common fundamental domains

Authors

Authors

D. E. Dutkay; D. G. Han; P. E. T. Jorgensen;G. Picioroaga

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Adv. Math.

Keywords

Fundamental domain; Packing; Group action; Lattice; Polynomial growth; LIE-GROUPS; DISCRETE-SUBGROUPS; WEYL ALGEBRAS; LATTICES; DECOMPOSITION; PAIRS; Mathematics

Abstract

We find conditions under which two measure preserving actions of two groups on the same space have a common fundamental domain. Our results apply to commuting actions with separate fundamental domains, lattices in groups of polynomial growth, and some semidirect products. We prove that two lattices of equal co-volume in a group of polynomial growth, one acting on the left, the other on the right, have a common fundamental domain. Published by Elsevier Inc.

Journal Title

Advances in Mathematics

Volume

239

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

109

Last Page

127

WOS Identifier

WOS:000318383800006

ISSN

0001-8708

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