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

Autor:	Rips, Eliyahu, Segev, Yoav, Tent, Katrin
Rok vydání:	2014
Předmět:	Mathematics - Group Theory 20B22
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages, 7 figures, revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1406.0382 Zobrazit plný text záznamu View this record from Arxiv