English

On one question of Shemetkov about composition formations

Group Theory 2019-04-10 v1

Abstract

In this paper one construction of composition formations was introduced. This construction contains formations of quasinilpotent groups, cc-supersoluble groups, groups defined by ranks of chief factors and some new classes of groups. A partial answer on a question of L.\,A. Shemetkov about the intersection of F\mathfrak{F}-maximal subgroups and the F\mathfrak{F}-hypercenter was given for these composition formations.

Keywords

Cite

@article{arxiv.1904.04244,
  title  = {On one question of Shemetkov about composition formations},
  author = {Viachaslau I. Murashka},
  journal= {arXiv preprint arXiv:1904.04244},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1711.01686

R2 v1 2026-06-23T08:33:18.166Z