6533b7cefe1ef96bd12578b0

RESEARCH PRODUCT

On a problem of L.A. Shemetkov on superradical formations of finite groups

Adolfo Ballester-bolinchesS. F. KamornikovValentin Nikolaevich Tyutyanov

subject

AlgebraFinite groupAlgebra and Number TheoryCritical groupMathematics

description

Abstract Subgroup-closed saturated formations F which are closed under taking products of F -subnormal F -subgroups are studied in the paper. Our results can be regarded as further developments in the hunt for a solution of a problem proposed by L.A. Shemetkov in 1999 in the Kourovka Notebook.

https://doi.org/10.1016/j.jalgebra.2014.01.004