Quantifying local embeddings into finite groups

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• Henry Bradford (University of Cambridge)
• Friday 18 October 2019, 13:45-14:45
• CMS, MR13.

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In this talk I will define an invariant which represents a quantitative version of Vershik and Gordon’s property of “local embeddability into finite groups”. This mirrors quantitative versions of residual finiteness, which have been much studied in the past decade. I will estimate this invariant in several examples, including wreath products and other similar group extensions. I will also describe a family of groups which, while residually finite, are easier to approximate using finite local embeddings than finite quotients.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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