This article is cited in 12 papers

Graphs with projective suborbits. Cases of small characteristics. I

V. I. Trofimov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: This article is devoted to a positive solution, announced earlier by the author, of the question of boundedness of orders of stabilizers of vertices of connected finite symmetric graphs with projective suborbits. The case when the characteristic of the field is 3 and the automorphism group of the graph acts intransitively on its 3-arcs is considered. (The case when the characteristic of the field is 3 and the group acts transitively on the 3-arcs of the graph will be considered in Part II of this paper.) In parallel, some cases of a field of characteristic 2 are studied.

UDC: 512.542+512.544.42

MSC: Primary 05C25; Secondary 20B25

Received: 02.06.1993

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1995, 45:2, 353–398

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