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Arbitrarily large finite quotients imply no uniform bound on depth

Andrew D. Warshall
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Abstract

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 result with Riley and partially answers a question asked there.

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Andrew D. Warshall. 2006-02-08. Arbitrarily large finite quotients imply no uniform bound on depth. https://arxiv.org/abs/math/0602174

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