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arXiv · 1304.1782

Arbitrarily Large Residual Finiteness Growth

Khalid Bou-Rabee·Brandon Seward
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Abstract

The residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. In this paper, we construct groups with arbitrarily large residual finiteness growth. We also demonstrate a new relationship between residual finiteness growth and some decision problems in groups, which we apply to our new groups.

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Khalid Bou-Rabee, Brandon Seward. 2013-04-05. Arbitrarily Large Residual Finiteness Growth. https://arxiv.org/abs/1304.1782

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