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arXiv:1004.1245 [math.GR]AbstractReferencesReviewsResources

A conjugacy criterion for Hall subgroups in finite groups

D. O. Revin, E. P. Vdovin

Published 2010-04-08Version 1

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

Comments: Appear in Siberian Mathematical Journal, vol. 51 (2010), No3.
Journal: Siberian Mathematical Journal, 2010, Vol. 51, No. 3, 402-409
Categories: math.GR
Subjects: 20D20, 20E34
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