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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
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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}
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