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, 2018, Issue 1(34), Pages 69–70 (Mi pfmt556)  

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the supersoluble residual of mutually permutable products

V. S. Monakhov

F. Scorina Gomel State University

Abstract: We prove that if a group $G=AB$ is the mutually permutable product of the supersoluble subgroups $A$ and $B$, then the supersoluble residual of $G$ coincides with the nilpotent residual of the derived subgroup $G'$.

Keywords: finite group, supersoluble subgroup, mutually permutable product, residual.

Full text: PDF file (298 kB)
References: PDF file   HTML file
UDC: 512.542
Received: 12.06.2017
Language:

Citation: V. S. Monakhov, “On the supersoluble residual of mutually permutable products”, PFMT, 2018, no. 1(34), 69–70

Citation in format AMSBIB
\Bibitem{Mon18}
\by V.~S.~Monakhov
\paper On the supersoluble residual of mutually permutable products
\jour PFMT
\yr 2018
\issue 1(34)
\pages 69--70
\mathnet{http://mi.mathnet.ru/pfmt556}


Linking options:
  • http://mi.mathnet.ru/eng/pfmt556
  • http://mi.mathnet.ru/eng/pfmt/y2018/i1/p69

    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

    This publication is cited in the following articles:
    1. Ts. Khuan, B. Khu, A. N. Skiba, “Konechnye gruppy so slabo subnormalnymi i chastichno subnormalnymi podgruppami”, Sib. matem. zhurn., 62:1 (2021), 210–220  mathnet  crossref
  • Проблемы физики, математики и техники
    Number of views:
    This page:135
    Full text:18
    References:12

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