Full automorphism groups of association schemes based on attenuated spaces

2012/10/23 by Liu, Wen, Wang, Kaishun
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1210.6150

Abstract

The set of subspaces with a given dimension in an attenuated space has a structure of a symmetric association scheme, which is a generalization of both Grassmann schemes and bilinear forms schemes. In [K. Wang, J. Guo, F. Li, Association schemes based on attenuated space, European J. Combin. 31 (2010) 297--305], its intersection numbers were computed. In this paper, we determine its full automorphism group.

Related

• Character tables of association schemes based on attenuated spaces
• Full automorphism groups of association schemes based on isotropic subspaces
• Association schemes obtained from the action of the general unitary group on isotropic vectors
• Association schemes for diagonal groups
• Association Scheme on Triples from the Unitary Group