Finite linear spaces admitting a projective group PSU(3,q) with q even

✍ Scribed by Weijun Liu

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 147 KB
• Volume: 374
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(03)00610-4

✦ Synopsis

This article is a contribution to the study of the automorphism groups of finite linear spaces. In particular we look at simple groups and prove the following theorem:

Let G = PSU(3, q) with q even and G acts line-transitively on a finite linear space S. Then S is one of the following cases: (i) A projective plane; (ii) A regular linear space with parameters (b, v, r, k) = (q 2 (q 2q + 1), q 3 + 1, q 2q + 1, q + 1). This is called the Hermitian unitary design.