activity
20062009
most citedStrongly t-logarithmic t-generating sets: Geometric properties of some soluble groups

7 citations · 12 across the 5 of their papers we have counts for

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Showing 2006Show all

2 papers · 1 filter

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…