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 |
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Keywords
- Flag-transitivity
- Projective linear group
- Projective space
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Flag-transitivity criterion for projective linear group defined over a subring of a base skew field. / Zyubin, S. A.
In: Siberian Electronic Mathematical Reports, Vol. 11, No. 1 A, 2014, p. 64-69.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Flag-transitivity criterion for projective linear group defined over a subring of a base skew field
AU - Zyubin, S. A.
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Flag-transitivity
KW - Projective linear group
KW - Projective space
UR - http://www.scopus.com/inward/record.url?scp=84894050852&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84894050852&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84894050852
VL - 11
SP - 64
EP - 69
JO - Siberian Electronic Mathematical Reports
JF - Siberian Electronic Mathematical Reports
SN - 1813-3304
IS - 1 A
ER -