Finitely generated simple sharply 2-transitive groups

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.

References in corpus (3)

• Recognizing a relatively hyperbolic group by its Dehn fillings
• Sharply 2-transitive linear groups
• Infinite sharply multiply transitive groups