Fundamentalnaya i Prikladnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Fundam. Prikl. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 8, Pages 129–136 (Mi fpm1194)  

This article is cited in 2 scientific papers (total in 2 papers)

On the normalizer of a Gaschütz system of a finite soluble group

S. F. Kamornikov, L. A. Shemetkov

Francisk Skorina Gomel State University
Full-text PDF (120 kB) Citations (2)
References:
Abstract: The notion of a Gaschütz system of a finite soluble group was introduced by S. F. Kamornikov in 2008 (this is a set of complements of crowns of pairwise nonisomorphic non-Frattini factors of a chief series of the group). In the present paper, properties of Gaschütz systems are investigated. In particular, we calculate the number of Gaschütz systems in a finite soluble group and prove their conjugacy, obtain a connection between $\mathfrak N$-prefrattini subgroups and normalizers of Gaschütz systems, and investigate factorizations of the normalizer of a Gaschütz system.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 5, Pages 655–660
DOI: https://doi.org/10.1007/s10958-010-9880-6
Bibliographic databases:
UDC: 512.542.4
Language: Russian
Citation: S. F. Kamornikov, L. A. Shemetkov, “On the normalizer of a Gaschütz system of a finite soluble group”, Fundam. Prikl. Mat., 14:8 (2008), 129–136; J. Math. Sci., 166:5 (2010), 655–660
Citation in format AMSBIB
\Bibitem{KamShe08}
\by S.~F.~Kamornikov, L.~A.~Shemetkov
\paper On the normalizer of a~Gasch\"utz system of a~finite soluble group
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 8
\pages 129--136
\mathnet{http://mi.mathnet.ru/fpm1194}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2744938}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 166
\issue 5
\pages 655--660
\crossref{https://doi.org/10.1007/s10958-010-9880-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952292123}
Linking options:
  • https://www.mathnet.ru/eng/fpm1194
  • https://www.mathnet.ru/eng/fpm/v14/i8/p129
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
    Statistics & downloads:
    Abstract page:281
    Full-text PDF :110
    References:54
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024