Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics)
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



PFMT:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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.

Full text: PDF file (377 kB)
References: PDF file   HTML file
UDC: 512.542
MSC: 20D25, 20F17, 20F19
Received: 30.04.2019

Citation: V. I. Murashka, “Generalized rank composition formations of finite groups”, PFMT, 2019, no. 3(40), 93–99

Citation in format AMSBIB
\Bibitem{Mur19}
\by V.~I.~Murashka
\paper Generalized rank composition formations of finite groups
\jour PFMT
\yr 2019
\issue 3(40)
\pages 93--99
\mathnet{http://mi.mathnet.ru/pfmt662}


Linking options:
  • http://mi.mathnet.ru/eng/pfmt662
  • http://mi.mathnet.ru/eng/pfmt/y2019/i3/p93

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Проблемы физики, математики и техники
    Number of views:
    This page:62
    Full text:28
    References:2

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021