Deep pockets in lattices and other groups

Details Deep pockets in lattices and other groups Deep pockets in lattices and other groups

2006-11-19

arxiv.org/abs/math/0611575v2

Mathematics

Group Theory

19 pages; added Section 3 on Euclidean groups

Scientific paper

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.

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