Abstract
We prove that the Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of the Kourovka Notebook.
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Original Russian Text Copyright © 2012Vdovin E. P. and Revin D. O.
The authors were supported by the Russian Foundation for Basic Research (Grants 10-01-00391, 11-01-00456, and 11-01-91158) and the Federal Target Program “Scientific and Educational Personnel of Innovation Russia” for 2009–2013 (State Contract 14.740.11.0346)
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 527–542, May–June, 2012.
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Vdovin, E.P., Revin, D.O. Pronormality of Hall subgroups in finite simple groups. Sib Math J 53, 419–430 (2012). https://doi.org/10.1134/S0037446612020231
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DOI: https://doi.org/10.1134/S0037446612020231