Transitive projective planes-Reference-Cited by-同舟云学术

Transitive projective planes

Published:2007-10-19 Issue:4 Volume:7 Page:475-528
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Gill Nick¹

Affiliation:

1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India.

Abstract

Abstract A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting transitively on the points of a non-Desarguesian projective plane must not contain any components.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2007.030/pdf

Reference25 articles.

1. On the maximal subgroups of the finite classical groups

2. Involutions in Chevalley groups over fields of even order

3. On the orbits of collineation groups

4. The Subgroups of PSL(3, q) for odd q

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