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arxiv: math/0602174 · v1 · submitted 2006-02-08 · 🧮 math.GR

Arbitrarily large finite quotients imply no uniform bound on depth

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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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