Title
On common fundamental domains
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
ISSN
0001-8708
Recommended Citation
"On common fundamental domains" (2013). Faculty Bibliography 2010s. 3924.
https://stars.library.ucf.edu/facultybib2010/3924
Comments
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