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arXiv · 2212.06020

Finitely generated simple sharply 2-transitive groups

Simon André·Vincent Guirardel
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Abstract

We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple, has exactly four conjugacy classes, and we show that this number is as small as possible.

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Simon André, Vincent Guirardel. 2022-12-12. Finitely generated simple sharply 2-transitive groups. https://doi.org/10.1112/s0010437x24007358

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