Deep pockets in lattices and other groups

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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.
19 pages; added Section 3 on Euclidean groups

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Group Theory, 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/122208

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611575
 http://arxiv.org/abs/math/0611575

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arXiv