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On automorphisms of the generalized hexagon of order (3,27)
Authors:I N Belousov  A A Makhnev
Institution:1.Institute of Mathematics and Mechanics,Ural Division of the Russian Academy of Sciences,Yekaterinburg,Russia
Abstract:Possible orders and fixed-point subgraphs for automorphisms of the generalized hexagon S of order (3,27) are found. It is proved that, if the automorphism group of S acts transitively on points, then S is isomorphic to the classical generalized hexagon corresponding to the building of the Steinberg group 3 D 4(3).
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