Affine planes admitting a collineation group with a transitive action on the line at infinity

JOURNAL OF ALGEBRA

卷:323

Article

Biliotti, Mauro¹  Montinaro, Alessandro¹ 

[1] Univ Salento, Dipartimento Matemat, I-73100 Lecce, Italy

关键词: Projective plane;    Collineation group;    Orbit;   

DOI  :  10.1016/j.jalgebra.2010.01.033

来源: Elsevier

【 摘 要 】

The affine planes admitting a collineation group with a transitive action on the line at infinity are investigated and an essentially complete classification is achieved when the group is almost simple. A rather deep result is also obtained when the action on the line at infinity is faithful and primitive. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free