Full automorphism groups of association schemes based on isotropic subspaces

2013/01/27 by Wen Liu, Liu, Wen, Mark Pankov +3
Mathematics · Medicine · #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1301.6304

openalex publication_date 2013/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The set of all subspaces of a given dimension in a finite classical polar space has a structure of a symmetric association scheme. If the dimension is zero, this is the scheme of the collinearity graph of the space; If the dimension is maximum, it is the dual polar scheme. In this note, we determine the full automorphism group of this scheme.

Related

• Full automorphism groups of association schemes based on attenuated spaces
• Association schemes and orthogonality graphs on anisotropic points of polar spaces
• Association schemes obtained from the action of the general unitary group on isotropic vectors
• Association schemes for diagonal groups
• On the isomorphism of certain primitive Q-polynomial not\n P-polynomial association schemes