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arxiv: 1403.0983 · v2 · pith:AJCBFF3Cnew · submitted 2014-03-05 · 🧮 math.GR

Characterizing linear groups in terms of growth properties

classification 🧮 math.GR
keywords groupsgrowthcharacterizecharacterizingclassfinitefinitenessfunctions
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Residual finiteness growth measures how well-approximated a group is by its finite quotients. We prove that some related growth functions characterize linearity for a class of groups including all hyperbolic groups.

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