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arXiv · 1701.04231

Intersection of conjugate solvable subgroups in symmetric groups

Anton Baykalov
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Abstract

It is shown that for a solvable subgroup $G$ of an almost simple group $S$ which socle is isomorphic to $A_n$ $ (n\ge5)$ there are $x,y,z,t \in S$ such that $G \cap G^x \cap G^y \cap G^z \cap G^t =1.$

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Anton Baykalov. 2017-01-16. Intersection of conjugate solvable subgroups in symmetric groups. https://doi.org/10.1007/s10469-017-9431-z

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