Deep pockets in lattices and other groups
Group Theory
2007-05-23 v2
Abstract
We show the nonexistence of deep pockets in a large class of groups, extending a result of Bogopol'skii. We then give examples of important groups (such as Nil and Sol) which have deep pockets.
Cite
@article{arxiv.math/0611575,
title = {Deep pockets in lattices and other groups},
author = {Andrew D. Warshall},
journal= {arXiv preprint arXiv:math/0611575},
year = {2007}
}
Comments
19 pages; added Section 3 on Euclidean groups