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

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.

Original language	English
Pages (from-to)	64-69
Number of pages	6
Journal	Siberian Electronic Mathematical Reports
Volume	11
Issue number	1 A
Publication status	Published - 2014

Keywords

Flag-transitivity
Projective linear group
Projective space

ASJC Scopus subject areas

Mathematics(all)

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Zyubin, S. A. (2014). Flag-transitivity criterion for projective linear group defined over a subring of a base skew field. Siberian Electronic Mathematical Reports, 11(1 A), 64-69.

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