V. S. Monakhov, V. N. Tyutyanov, “On finite groups with some subgroups of prime indices”, Sibirsk. Mat. Zh., 2007, Volume 48, Number 4,Pages <nobr>833

This article is cited in 7 papers

On finite groups with some subgroups of prime indices

V. S. Monakhov, V. N. Tyutyanov

Francisk Skorina Gomel State University

Abstract: We establish the solvability of each finite group whose every proper nonmaximal subgroup lies in some subgroup of prime index.

Keywords: finite group, maximal subgroup, index, solvable group, supersolvable group, Fitting subgroup.

Received: 09.02.2006