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Pré-Publication, Document De Travail Année : 2022

Finitely generated simple sharply 2-transitive groups

Résumé

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.

Dates et versions

hal-03896318 , version 1 (13-12-2022)

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Simon André, Vincent Guirardel. Finitely generated simple sharply 2-transitive groups. 2022. ⟨hal-03896318⟩
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