Arbitrarily Large Residual Finiteness Growth
classification
🧮 math.GR
keywords
finitenessgrowthresidualgroupsarbitrarilygrouplargeapply
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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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