Geodesic
A sharply 2-transitive group without a non-trivial abelian normal subgroup
Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 2895-2910

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We show that any group G is contained in some sharply 2-transitive group G without a non-trivial abelian normal subgroup. This answers a long-standing open question. The involutions in the groups G that we construct have no fixed points.
DOI : 10.4171/jems/730
Classification : 20-XX
Keywords: Sharply 2-transitive, free product, HNN-extension, malnormal 
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     author = {Eliyahu Rips and Yoav Segev and Katrin Tent},
     title = {A sharply 2-transitive group without a non-trivial abelian normal subgroup},
     journal = {Journal of the European Mathematical Society},
     pages = {2895--2910},
     publisher = {mathdoc},
     volume = {19},
     number = {10},
     year = {2017},
     doi = {10.4171/jems/730},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/730/}
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Eliyahu Rips; Yoav Segev; Katrin Tent. A sharply 2-transitive group without a non-trivial abelian normal subgroup. Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 2895-2910. doi: 10.4171/jems/730

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