V. S. Monakhov, I. K. Chirik, “On the <nobr>$p$</nobr>-supersolvability of a finite factorizable group with normal factors”, Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 3,Pages <nobr>256

This article is cited in 14 papers

On the $p$-supersolvability of a finite factorizable group with normal factors

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

^a Francisk Skaryna Gomel State University, Faculty of Mathematics
^b Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus

Abstract: We obtain "$p$-analogs" of known criteria for the supersolvability of a finite group $G=AB$ with normal supersolvable subgroups $A$ and $B$. In addition, new sufficient conditions for the supersolvability of a finite group are found under stronger conditions than the supersolvability of normal factors.

Keywords: finite group, $p$-supersolvable group, $p$-solvable group, mnp-group, t-group.

UDC: 512.542

Received: 29.12.2014