Groups of projective planes with differing numbers of point and line orbits

JOURNAL OF ALGEBRA

卷:399

Article

Moorhouse, G. Eric¹  Penttila, Tim² 

[1] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

关键词: Projective plane;    Collineation group;    Orbit;    Skew field;   

DOI  :  10.1016/j.jalgebra.2013.10.025

来源: Elsevier

【 摘 要 】

We give examples of infinite projective planes with collineation groups having differing numbers of orbits on points and on lines, solving a problem posed by Cameron [9] and attributed to Kantor. Some of our examples are Desarguesian. Published by Elsevier Inc.

【 授权许可】

Free