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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)64-69
Number of pages6
JournalSiberian Electronic Mathematical Reports
Volume11
Issue number1 A
Publication statusPublished - 2014

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Division ring or skew field
Subring
Linear Group
Transitivity
Flag-transitive
If and only if

Keywords

  • Flag-transitivity
  • Projective linear group
  • Projective space

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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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.",
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