Sharply 3-transitive groups

2015/08/06 by Tent, Katrin
#20B22 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1508.01291

Abstract

We construct the first sharply 3-transitive groups not arising from a near field, i.e. point stabilizers have no nontrivial abelian normal subgroup.

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• Sharply 2-transitive groups
• A sharply 2-transitive group without a non-trivial abelian normal subgroup
• Sharply 2-transitive groups in characteristic 0
• Non-split linear sharply 2-transitive groups
• Simple sharply 2-transitive groups