Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 436–442 (Mi semr423)  
Mathematical logic, algebra and number theory

On the commutation graph of cyclic $TI$-subgroup in a symmetric group

N. D. Zyulyarkina

South Ural State University, Chelyabinsk
Full-text PDF (515 kB)
References:
PDF
HTML
Abstract: We study the commutation graph $\Gamma _G(A)$ of cyclic $TI$-subgroup A of order 4 in a finite group $G$ with quasisimple generalized Fitting subgroup $F^*(G)$. It is proved that, if $F^*(G)$ is a covering group for $A_n$, then the graph $\Gamma _G(A)$ is edge-regular but not coedge-regular graph.
Keywords: finite group, cyclic $TI$-subgroup, commutation graph.
Received May 1, 2013, published May 22, 2013
Document Type: Article
UDC: 519.17+512.54
MSC: 05C25
Language: Russian
Citation: N. D. Zyulyarkina, “On the commutation graph of cyclic $TI$-subgroup in a symmetric group”, Sib. Èlektron. Mat. Izv., 10 (2013), 436–442
Citation in format AMSBIB
\Bibitem{Zyu13}
\by N.~D.~Zyulyarkina
\paper On the commutation graph of cyclic $TI$-subgroup in a symmetric group
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 436--442
\mathnet{http://mi.mathnet.ru/semr423}
Linking options:
  • https://www.mathnet.ru/eng/semr423
  • https://www.mathnet.ru/eng/semr/v10/p436
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:209
    Full-text PDF :52
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024