Automorphisms of Association Schemes of Quadratic Forms over a Finite Field of Characteristic Two

• 来源期刊: 代数集刊（英文版）
• 关键词: quadratic form association scheme automorphism
• 年，卷（期）: 2003,（1）
• 页码范围: 63-74
• 页数: 12页
• 语种: 英文

摘要

Let Xn denote the set of quadratic forms in n variables over a finite field Fq of characteristic 2, and Xn the association scheme on Xn by defining the relations with respect to the type of quadratic forms. We prove that every automorphism of Xn is of the form X(→) PtXσP + Y for all X ∈Xn, where P ∈ GLn(Fq), σ is an automorphism of Fq, and Y ∈ Xn.