Pronormality of Hall subgroups in finite simple groups

By E. Vdovin, D. Revin. 2012

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We prove that the Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of the Kourovka Notebook.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e5d80c861918b713631ce2e5cccf18108180e588