### 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 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Siberian Electronic Mathematical Reports*, vol. 11, no. 1 A, pp. 64-69.

}

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 -