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arXiv · 2308.14529

Property (T) and Many Quotients

Laurent Bartholdi·Martin Kassabov
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Abstract

We prove that, for the free algebra over a sufficiently rich operad, a large subgroup of its group of tame automorphisms has Kazhdan's property (T). We deduce that there exists a group with property (T) that maps onto large powers of alternating groups.

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Laurent Bartholdi, Martin Kassabov. 2023-08-28. Property (T) and Many Quotients. https://arxiv.org/abs/2308.14529

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