A conjugacy criterion for Hall subgroups in finite groups
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- Vdovin, E.P. & Revin, D.O. Sib Math J (2010) 51: 402. doi:10.1007/s11202-010-0041-4
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A finite group G is said to satisfy Cπ for a set of primes π, if G possesses exactly one class of conjugate π-Hall subgroups. We obtain a criterion for a finite group G to satisfy Cπ in terms of a normal series of the group.