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], 2014, Volume 11, Pages 64–69 (Mi semr471)  
Mathematical logic, algebra and number theory

Flag-transitivity criterion for projective linear group defined over a subring of a base skew field

S. A. Zyubin

Tomsk Polytechnic University
Full-text PDF (493 kB)
References:
PDF
HTML
Abstract: It is proved that a projective linear group over a subring of a skew field is flag-transitive if and only if the subring is a Bezout domain and its (left and right) fraction sets coincide with the skew field. This result gives answer for Problem 11.70(b) from Kourovka Notebook.
Keywords: flag-transitivity, projective linear group, projective space.
Received October 14, 2013, published January 30, 2014
Document Type: Article
UDC: 512.54, 512.64
MSC: 20G15, 15A04
Language: Russian
Citation: S. A. Zyubin, “Flag-transitivity criterion for projective linear group defined over a subring of a base skew field”, Sib. Èlektron. Mat. Izv., 11 (2014), 64–69
Citation in format AMSBIB
\Bibitem{Zyu14}
\by S.~A.~Zyubin
\paper Flag-transitivity criterion for projective linear group defined over a subring of a base skew field
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 64--69
\mathnet{http://mi.mathnet.ru/semr471}
Linking options:
  • https://www.mathnet.ru/eng/semr471
  • https://www.mathnet.ru/eng/semr/v11/p64
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:399
    Full-text PDF :56
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024