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arXiv · 1004.1245

A conjugacy criterion for Hall subgroups in finite groups

D. O. Revin·E. P. Vdovin
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Abstract

A finite group $G$ is said to satisfy $C_π$ for a set of primes $π$, if $G$ possesses exactly one class of conjugate $π$-Hall subgroups. In the paper we obtain a criterion for a finite group $G$ to satisfy $C_π$ in terms of a normal series of the group.

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D. O. Revin, E. P. Vdovin. 2010-04-08. A conjugacy criterion for Hall subgroups in finite groups. https://doi.org/10.1007/s11202-010-0041-4

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