Аннотация:
A classification of maximal subgroups of odd index in finite simple groups was obtained by M. Liebeck and J. Saxl and, independently, by W. Kantor in 1980s. In the cases of alternating groups and classical groups of Lie type over fields of odd characteristics, the classification was not complete.
The classification was completed by the author in 2008. In the cases of finite simple classical groups of Lie type we referred to results obtained in P. Kleidman's PhD thesis. However, it turned out that the thesis contains a number of flaws that were corrected by J. Bray, D. Holt, and C. Roney–Dougal in 2013. Due to uncovered circumstances, in this note we provide a revision of our classification.