arXiv Analytics

Sign in

arXiv:1302.0931 [math.GR]AbstractReferencesReviewsResources

Pronormality of Hall subgroups in finite simple groups

Evgeny P. Vdovin, Danila O. Revin

Published 2013-02-05Version 1

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".

Journal: Siberian Mathematical Journal, vol. 53 (2012), n0. 3, 419-430
Categories: math.GR
Subjects: 20D20, 20D05, 20D06
Related articles: Most relevant | Search more
arXiv:0912.1922 [math.GR] (Published 2009-12-10, updated 2010-10-11)
On the number of classes of conjugate Hall subgroups in finite simple groups
arXiv:1807.00384 [math.GR] (Published 2018-07-01)
On the Pronormality of Subgroups of Odd Index in Finite Simple Groups
arXiv:1409.8086 [math.GR] (Published 2014-09-29)
On the structure of finite groups isospectral to finite simple groups

Links

Toolbox