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

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

Keywords

Flag-transitivity
Projective linear group
Projective space

ASJC Scopus subject areas

Mathematics(all)

Fingerprint Dive into the research topics of 'Flag-transitivity criterion for projective linear group defined over a subring of a base skew field'. Together they form a unique fingerprint.

Cite this

@article{62394c9c424f4749a5601a2a5a8feb51,

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

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.",

keywords = "Flag-transitivity, Projective linear group, Projective space",

author = "Zyubin, {S. A.}",

year = "2014",

language = "English",

volume = "11",

pages = "64--69",

journal = "Siberian Electronic Mathematical Reports",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "1 A",

}

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 -

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

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Cite this