Journal article
On common fundamental domains
Advances in mathematics (New York. 1965), Vol.239, pp.109-127
06/01/2013
DOI: 10.1016/j.aim.2013.02.016
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.
Details
- Title: Subtitle
- On common fundamental domains
- Creators
- Dorin Ervin Dutkay - University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., P.O. Box 161364, Orlando, FL 32816-1364, USADeguang Han - University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., P.O. Box 161364, Orlando, FL 32816-1364, USAPalle E.T Jorgensen - University of Iowa, Department of Mathematics, 14 MacLean Hall, Iowa City, IA 52242-1419, USAGabriel Picioroaga - Department of Mathematical Sciences, Dakota Hall, University of South Dakota, 414 E. Clark St., Vermillion SD 57069, USA
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.239, pp.109-127
- DOI
- 10.1016/j.aim.2013.02.016
- ISSN
- 0001-8708
- eISSN
- 1090-2082
- Publisher
- Elsevier Inc
- Grant note
- name: National Science Foundation
- Language
- English
- Date published
- 06/01/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985712702771
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