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On automorphisms of a generalized hexagon of order (t, t)

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Abstract

Possible orders and fixed-point subgraphs are found for elements of prime order in the automorphism group of generalized hexagons GH(t, t). It is proved that a generalized hexagon of order (6, 6) is not arc-transitive.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    I. N. Belousov

  2. Graduate School of Economics and Management, Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

    I. N. Belousov

Authors
  1. I. N. Belousov
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Correspondence to I. N. Belousov.

Additional information

Original Russian Text © I.N. Belousov, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 2.

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Belousov, I.N. On automorphisms of a generalized hexagon of order (t, t). Proc. Steklov Inst. Math. 289 (Suppl 1), 42–53 (2015). https://doi.org/10.1134/S0081543815050041

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  • DOI: https://doi.org/10.1134/S0081543815050041

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