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math.GR2013
On the pronormality of Hall subgroups
Evgeny P. Vdovin, Danila O. Revin
Fix a set of primes . A finite group is said to satisfy or, in other words, to be a -group, if it possesses exactly one class of conjugate -Hall subgroups. The pro…
math.GR2013★ 33 cited
Pronormality of Hall subgroups in finite simple groups
Evgeny P. Vdovin, Danila O. Revin
We prove that Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of "Kourovka notebook".