Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 2: 303 - 319

DOI: https://doi.org/10.1007/s11464-014-0343-0

RESEARCH ARTICLE

Automorphisms of generalized orthogonal graphs of characteristic 2

  • Lijun HUO 1 ,
  • Wenbin GUO , 1 ,
  • Gengsheng ZHANG 2
Expand
  • 1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • 2. Mathematics and Information Science College, Hebei Normal University, Shijiazhuang 050024, China

Received date: 28 Mar 2013

Accepted date: 18 Nov 2013

Published date: 01 Apr 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
Fold

Abstract

We determine the automorphism group of the generalized orthogonal graph GO2v+δ(q,m,G) over Fq of characteristic 2, where 1<m <v.

Key words： Graph; generalized orthogonal graph; automorphism

Cite this article

Lijun HUO , Wenbin GUO , Gengsheng ZHANG . Automorphisms of generalized orthogonal graphs of characteristic 2[J]. Frontiers of Mathematics in China, 2014 , 9(2) : 303 -319 . DOI: 10.1007/s11464-014-0343-0

References

Publishing order | Descend order by publishing year | Descend order by cited within
1
GodsilC D, RoyleG F. Algebraic Graph Theory. New York-Berlin: Springer, 2001

DOI

2
GuZ, WanZ. Orthogonal graphs of odd characteristic and their automorphisms. Finite Fields App, 2008, 14: 291-313

DOI

3
LiuW, MaC L, WangK S. Full automorphism group of generalized unitary graphs. Linear Algebra Appl, 2012, 437: 684-691

DOI

4
TangZ, WanZ. Symplectic graphs and their automorphisims. European J Combin, 2006, 27: 38-50

DOI

5
WanZ. Geometry of Matrices. Singapore: World Scientific, 1996

6
WanZ. Geometry of Classical Groups Over Finite Fields. Beijing-New York: Science Press, 2002

7
WanZ, ZhouK. Orthogonal graphs of characteristic 2 and their automorphisms. Sci China Ser A, 2009, 52: 361-380

DOI

8
WanZ, ZhouK. Unitary graphs and their automorphisms. Ann Comb, 2010, 14: 367-395

DOI

9
WeiH, WangY. Suborbits of the transitive set of subspaces of type (m, 0) under finite classical groups. Algebra Colloq, 1996, 3: 73-84

10
ZengL W, ChaiC, FengR Q, MaC. Full automorphism group of the generalized symplectic graph. Sci China Math, 2013, 56(7): 1509-1520

DOI

Options
Outlines

/

〈 〉