A. S. Kondrat'ev, N. V. Maslova, D. O. Revin, “On the pronormality of subgroups of odd index in finite simple groups”, Sibirsk. Mat. Zh., 2015, Volume 56, Number 6,Pages <nobr>1375

This article is cited in 14 papers

On the pronormality of subgroups of odd index in finite simple groups

A. S. Kondrat'ev^ab, N. V. Maslova^ba, D. O. Revin^cd

^a Krasovskiĭ Institute of Mathematics and Mechanics, Ekaterinburg, Russia
^b Ural Federal University, Ekaterinburg, Russia
^c Sobolev Institute of Mathematics, Novosibirsk, Russia
^d Novosibirsk State University, Novosibirsk, Russia

Abstract: We prove the pronormality of subgroups of finite index for many classes of simple groups.

Keywords: finite group, simple group, pronormal group, odd index, maximal subgroup, normalizer of a Sylow subgroup.

UDC: 512.542

Received: 13.02.2015

DOI: 10.17377/smzh.2015.56.614