V. N. Semenchuk, S. A. Mokeeva, O. A. Mokeeva, “The product of generalized subnormal subgroups in finite groups”, Sibirsk. Mat. Zh., 2009, Volume 50, Number 4,Pages <nobr>890

The product of generalized subnormal subgroups in finite groups

V. N. Semenchuk^a, S. A. Mokeeva^b, O. A. Mokeeva^a

^a Francisk Skaryna Gomel State University, Gomel, Belarus
^b Belarusian State University of Trade and Economics of Consumer's Cooperation, Gomel, Belarus

Abstract: We study the structure of some classes of finite groups with a given system of commuting generalized subnormal subgroups. In particular, our results yield a characterization of superradical and Shemetkov formations.

Keywords: finite group, formation, saturated formation, superradical formation, Shemetkov formation.

UDC: 512.542

Received: 18.04.2007