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	Full automorphism group of the generalized symplectic graph
	Zeng LiWei ; Chai Zhao ; Feng RongQuan ; Ma ChangLi
	2013
关键词	generalized symplectic graph automorphism projective generalized symplectic group totally isotropic subspace generalized dual polar graph
英文摘要	Let be a finite field of odd characteristic, m, nu the integers with 1 a (c) 1/2 m a (c) 1/2 nu and K a 2 nu x 2 nu nonsingular alternate matrix over . In this paper, the generalized symplectic graph GSp (2 nu) (q, m) relative to K over is introduced. It is the graph with m-dimensional totally isotropic subspaces of the 2 nu-dimensional symplectic space as its vertices and two vertices P and Q are adjacent if and only if the rank of PKQ (T) is 1 and the dimension of P a (c) Q is m - 1. It is proved that the full automorphism group of the graph GSp (2 nu) (q, m) is the projective semilinear symplectic group PI p(2 pound nu, q).; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000321587300017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 4; ARTICLE; 7,SI; 1509-1520; 56
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157473]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zeng LiWei,Chai Zhao,Feng RongQuan,et al. Full automorphism group of the generalized symplectic graph. 2013-01-01.

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