March 14, 2024Open Access

High-dimensional expansion and soficity of groups

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Abstract

For d 4 and p a sufficiently large prime, we construct a lattice PSp₂₃ (Qₚ), such that its universal central extension cannot be sofic if satisfies some weak form of stability in permutations. In the proof, we make use of high-dimensional expansion phenomena and, extending results of Lubotzky, we construct new examples of cosystolic expanders over arbitrary finite abelian groups.

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Gohla et al. (Thu,) studied this question.

synapsesocial.com/papers/68e7420ab6db6435876bb803 https://doi.org/https://doi.org/10.48550/arxiv.2403.09582

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