Arbitrarily large finite quotients imply no uniform bound on depth

Details Arbitrarily large finite quotients imply no uniform bound on depth Arbitrarily large finite quotients imply no uniform bound on depth

2006-02-08

arxiv.org/abs/math/0602174v1

Mathematics

Group Theory

3 pages, no figures

Scientific paper

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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