Title
On Common Fundamental Domains
Keywords
Fundamental domain; Group action; Lattice; Packing; Polynomial growth
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. © 2013.
Publication Date
6-1-2013
Publication Title
Advances in Mathematics
Volume
239
Number of Pages
109-127
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.aim.2013.02.016
Copyright Status
Unknown
Socpus ID
84875661597 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84875661597
STARS Citation
Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E.T.; and Picioroaga, Gabriel, "On Common Fundamental Domains" (2013). Scopus Export 2010-2014. 7026.
https://stars.library.ucf.edu/scopus2010/7026