Simple sharply 2-transitive groups

André, Simon; Tent, Katrin

doi:10.1090/tran/8846

Simple sharply 2-transitive groups
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by Simon André and Katrin Tent;

Trans. Amer. Math. Soc. 376 (2023), 3965-3993

DOI: https://doi.org/10.1090/tran/8846

Published electronically: February 16, 2023

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Abstract:

We construct infinite simple sharply 2-transitive groups. Our result answers an open question of Peter Neumann. In fact, we prove that every sharply 2-transitive group $G$ of characteristic 0 embeds into a simple sharply 2-transitive group.

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