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arXiv · 1406.0382

A sharply 2-transitive group without a non-trivial abelian normal subgroup

Eliyahu Rips·Yoav Segev·Katrin Tent
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Abstract

We show that any group $G$ is contained in some sharply 2-transitive group $\mathcal{G}$ without a non-trivial abelian normal subgroup. This answers a long-standing open question. The involutions in the groups $\mathcal{G}$ that we construct have no fixed points.

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Eliyahu Rips, Yoav Segev, Katrin Tent. 2014-06-02. A sharply 2-transitive group without a non-trivial abelian normal subgroup. https://arxiv.org/abs/1406.0382

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