N. V. Maslova, “Nonabelian composition factors of a finite group whose all maximal subgroups are Hall”, Sibirsk. Mat. Zh., 2012, Volume 53, Number 5,Pages <nobr>1065

This article is cited in 15 papers

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

N. V. Maslova^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University, Ekaterinburg

Abstract: We obtain a full description of nonabelian composition factors for a finite nonsoluble group whose all maximal subgroups are Hall. Thus we solve Problem 17.92 in the “Kourovka Notebook”.

Keywords: finite group, nonsoluble group, maximal subgroup, Hall subgroup, nonabelian composition factor.

UDC: 512.542

Received: 01.12.2011