N. V. Maslova, D. O. Revin, “Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 3,Pages <nobr>178–187</nobr>

RUS ENG

JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 3, Pages 178–187 (Mi timm1333)

This article is cited in 1 paper

Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups

N. V. Maslova^ab, D. O. Revin^cd

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^d Novosibirsk State University, Mechanics and Mathematics Department

Abstract: We obtain a description of nonabelian composition factors of a finite nonsolvable group in which any maximal subgroup of odd index is a Hall subgroup.

Keywords: finite group, maximal subgroup, Hall subgroup, composition factor, odd index.

UDC: 512.542

MSC: 20D20, 20D30, 20D60

Received: 17.05.2016

DOI: 10.21538/0134-4889-2016-22-3-178-187

English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 299, suppl. 1, 148–157

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024