A conjugacy criterion for Hall subgroups in finite groups

Details A conjugacy criterion for Hall subgroups in finite groups A conjugacy criterion for Hall subgroups in finite groups

2010-04-08

arxiv.org/abs/1004.1245v1

Siberian Mathematical Journal, 2010, Vol. 51, No. 3, 402-409

Mathematics

Group Theory

Appear in Siberian Mathematical Journal, vol. 51 (2010), No3.

Scientific paper

10.1007/s11202-010-0041-4

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.

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