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arXiv · 0812.3204

On the intersections of solvable Hall subgroups in finite groups

E. P. Vdovin·V. I. Zenkov
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Abstract

In the paper we consider the following conjecture: if a finite group $G$ possesses a solvable $π$-Hall subgroup $H$, then there exist elements $x,y,z,t\in G$ such that the identity $H\cap H^x\cap H^y\cap H^z\cap H^t=O_π(G)$ holds. The minimal counter example is shown to be an almost simple group of Lie type.

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BibTeXRIS

E. P. Vdovin, V. I. Zenkov. 2008-12-17. On the intersections of solvable Hall subgroups in finite groups. https://arxiv.org/abs/0812.3204

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