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Automorphisms of generalized orthogonal graphs of characteristic 2

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Abstract

We determine the automorphism group of the generalized orthogonal graph GO 2ν+δ (q,m,G) over \(\mathbb{F}_q \) of characteristic 2, where 1 < m < ν.

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References

  1. Godsil C D, Royle G F. Algebraic Graph Theory. New York-Berlin: Springer, 2001

    Book  MATH  Google Scholar 

  2. Gu Z, Wan Z. Orthogonal graphs of odd characteristic and their automorphisms. Finite Fields App, 2008, 14: 291–313

    Article  MATH  MathSciNet  Google Scholar 

  3. Liu W, Ma C L, Wang K S. Full automorphism group of generalized unitary graphs. Linear Algebra Appl, 2012, 437: 684–691

    Article  MATH  MathSciNet  Google Scholar 

  4. Tang Z, Wan Z. Symplectic graphs and their automorphisims. European J Combin, 2006, 27: 38–50

    Article  MATH  MathSciNet  Google Scholar 

  5. Wan Z. Geometry of Matrices. Singapore: World Scientific, 1996

    Book  MATH  Google Scholar 

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

    Google Scholar 

  7. Wan Z, Zhou K. Orthogonal graphs of characteristic 2 and their automorphisms. Sci China Ser A, 2009, 52: 361–380

    Article  MATH  MathSciNet  Google Scholar 

  8. Wan Z, Zhou K. Unitary graphs and their automorphisms. Ann Comb, 2010, 14: 367–395

    Article  MATH  MathSciNet  Google Scholar 

  9. Wei H, Wang Y. Suborbits of the transitive set of subspaces of type (m, 0) under finite classical groups. Algebra Colloq, 1996, 3: 73–84

    MATH  MathSciNet  Google Scholar 

  10. Zeng L W, Chai C, Feng R Q, Ma C. Full automorphism group of the generalized symplectic graph. Sci China Math, 2013, 56(7): 1509–1520

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China

    Lijun Huo & Wenbin Guo

  2. Mathematics and Information Science College, Hebei Normal University, Shijiazhuang, 050024, China

    Gengsheng Zhang

Authors
  1. Lijun Huo
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  2. Wenbin Guo
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  3. Gengsheng Zhang
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Correspondence to Wenbin Guo.

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Huo, L., Guo, W. & Zhang, G. Automorphisms of generalized orthogonal graphs of characteristic 2. Front. Math. China 9, 303–319 (2014). https://doi.org/10.1007/s11464-014-0343-0

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

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