Deep pockets in lattices and other groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122208We 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 groupsGroup Theory20F65Deep pockets in lattices and other groupstext