Deep pockets in lattices and other groups

Warshall, Andrew

doi:10.1090/S0002-9947-09-04954-X

Deep pockets in lattices and other groups
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by Andrew D. Warshall

Trans. Amer. Math. Soc. 362 (2010), 577-601

DOI: https://doi.org/10.1090/S0002-9947-09-04954-X

Published electronically: September 17, 2009

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Abstract:

We show the nonexistence of deep pockets in a large class of groups, extending a result of Bogopol’skiĭ. We then give examples of important groups (namely lattices in Nil and Sol) which have deep pockets.

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