7 citations · 12 across the 5 of their papers we have counts for
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math.GR2006★ 3 cited
Deep pockets in lattices and other groups
Andrew D. Warshall
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…
math.GR2006★ 1 cited
Arbitrarily large finite quotients imply no uniform bound on depth
Andrew D. Warshall
We show that any group with arbitrarily large finite quotients admits generating sets with respect to which it has arbitrarily large finite dead-end depth. This extends a joint res…