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.
|Number of pages||6|
|Journal||Siberian Electronic Mathematical Reports|
|Issue number||1 A|
|Publication status||Published - 2014|
- Projective linear group
- Projective space
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