Continuously Many Quasi-isometry Classes of Residually Finite Groups

Hip Kuen Chong; Daniel T. Wise

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arXiv · 2207.00354

Continuously Many Quasi-isometry Classes of Residually Finite Groups

Hip Kuen Chong·Daniel T. Wise

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Abstract

We study a family of finitely generated residually finite small cancellation groups. These groups are quotients of $F_2$ depending on a subset $S$ of positive integers. Varying $S$ yields continuously many groups up to quasi-isometry.

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Hip Kuen Chong, Daniel T. Wise. 2022-07-01. Continuously Many Quasi-isometry Classes of Residually Finite Groups. https://arxiv.org/abs/2207.00354

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