Loading [MathJax]/jax/output/CommonHTML/jax.js
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


Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 2(51), Pages 76–82
DOI: https://doi.org/10.54341/20778708_2022_2_51_76
(Mi pfmt847)
 

MATHEMATICS

On Lockett pairs and Lockett conjecture for σ-local Fitting classes

E. D. Lantsetova

P.M. Masherov Vitebsk State University
References:
Abstract: For each nonempty Fitting class F, Lockett defined the smallest Fitting class F containing F such that (G×H)F=GF×HF for all groups G and H and the Fitting class F as the intersection of all nonempty Fitting classes X for which X=F. Lockett pair of nonempty Fitting classes F and H is an ordered pair (F,H) such that FH=(FH). If FH and F is a Lockett class, then F is said to satisfy Lockett conjecture in H. In the present paper, in the universe S of all finite soluble groups, the methods for constructing Lockett pairs are described for the case when F is a generalized local Fitting class, and, in particular, for F confirmed Lockett conjecture.
Keywords: σ-local Fitting class, Lockett pair, Lockett conjecture.
Received: 03.02.2022
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: E. D. Lantsetova, “On Lockett pairs and Lockett conjecture for σ-local Fitting classes”, PFMT, 2022, no. 2(51), 76–82
Citation in format AMSBIB
\Bibitem{Vol22}
\by E.~D.~Lantsetova
\paper On Lockett pairs and Lockett conjecture for $\sigma$-local Fitting classes
\jour PFMT
\yr 2022
\issue 2(51)
\pages 76--82
\mathnet{http://mi.mathnet.ru/pfmt847}
\crossref{https://doi.org/10.54341/20778708_2022_2_51_76}
\edn{https://elibrary.ru/WQAZZC}
Linking options:
  • https://www.mathnet.ru/eng/pfmt847
  • https://www.mathnet.ru/eng/pfmt/y2022/i2/p76
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы физики, математики и техники
    Statistics & downloads:
    Abstract page:88
    Full-text PDF :38
    References:17
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025