V. S. Monakhov, I. K. Chirik, “Finite factorised groups whose factors are subnormal supersolvable subgroups”, PFMT, 2016, Issue 3(28),Pages <nobr>40

This article is cited in 4 papers

MATHEMATICS

Finite factorised groups whose factors are subnormal supersolvable subgroups

V. S. Monakhov^a, I. K. Chirik^b

^a F. Scorina Gomel State University
^b University of Civil Protection of the Ministry for Emergency Situations of the Republic of Belarus

Abstract: New criteria of supersolvability for a finite group which is factorised as a product of supersoluble subgroups are obtained. Some applications to the factorization by $F(G)$-subnormal subgroups are presented.

Keywords: finite group, supersolvable group, derived subgroup, subnormal subgroup, factorised group.

UDC: 512.542

Received: 19.04.2016