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Finitely generated simple sharply 2-transitive groups
Published 12 Dec 2022 in math.GR | (2212.06020v1)
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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