D. Revin

activity

20082026

most citedOn the number of classes of conjugate Hall subgroups in finite simple groups

71 citations · 213 across the 32 of their papers we have counts for

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Showing 2013 · math.GRShow all

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math.GR2013

On the pronormality of Hall subgroups

Evgeny P. Vdovin, Danila O. Revin

Fix a set of primes $π$ . A finite group is said to satisfy $C_{π}$ or, in other words, to be a $C_{π}$ -group, if it possesses exactly one class of conjugate $π$ -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".