A sharply 2-transitive group without a non-trivial abelian normal subgroup
Eliyahu Rips
Hebrew University, Jerusalem, IsraelYoav Segev
Ben-Gurion University, Beer-Sheva, IsraelKatrin Tent
Universität Münster, Germany
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Abstract
We show that any group is contained in some sharply 2-transitive group without a non-trivial abelian normal subgroup. This answers a long-standing open question. The involutions in the groups that we construct have no fixed points.
Cite this article
Eliyahu Rips, Yoav Segev, Katrin Tent, A sharply 2-transitive group without a non-trivial abelian normal subgroup. J. Eur. Math. Soc. 19 (2017), no. 10, pp. 2895–2910
DOI 10.4171/JEMS/730