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arXiv · 2505.23269

Virtual First Betti Number of GGS Groups

Andrew Ng
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Abstract

We observe a criterion for groups to have vanishing virtual first Betti number and use it to give infinitely many examples of torsion-free, finitely generated, residually finite groups which aren't virtually diffuse. This answers a question raised by Kionke and Raimbault.

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Andrew Ng. 2025-05-29. Virtual First Betti Number of GGS Groups. https://arxiv.org/abs/2505.23269

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