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.
3 pages, no figures

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Group Theory, 20F65 (Primary) 20F22 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/108898

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602174
 http://arxiv.org/abs/math/0602174

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arXiv