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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2019 Issue 3(40), Pages 93–99 (Mi pfmt662)

MATHEMATICS

Generalized rank composition formations of finite groups

V. I. Murashka

F. Scorina Gomel State University

Abstract: In this paper one construction of composition formations was introduced. This construction contains formations of quasi-$\mathfrak{F}$-groups, $c$-supersoluble groups and groups defined by ranks of chief factors. The structure of groups from introduced formations was described. As corollaries some results of different authors were obtained. A question of L.A. Shemetkov about the intersection of $\mathfrak{F}$-maximal subgroups and the $\mathfrak{F}$-hypercenter was investigated for these formations.

Keywords: finite group, $c$-supersoluble group, quasinilpotent group, quasi-$\mathfrak{F}$-group, hereditary local formation, composition formation, $\mathfrak{F}$-maximal subgroup, $\mathfrak{F}$-hypercenter.

UDC: 512.542

MSC: 20D25, 20F17, 20F19

Received: 30.04.2019



© Steklov Math. Inst. of RAS, 2025