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 |
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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)