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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1994 Volume 58, Issue 6, Pages 137–156 (Mi im528)

This article is cited in 12 papers

Graphs with projective suborbits. Cases of small characteristics. II

V. I. Trofimov

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

Abstract: This article is devoted to the positive solution, announced earlier by the author, of the question of the boundedness of the orders of stabilizers of vertices of connected finite symmetric graphs with projective suborbits. We consider the case when the characteristic of the field is equal to 3 and the automorphism group of the graph acts transitively on its 3-arcs. (The case when the characteristic of the field is equal to 3 and the group acts intransitively on 3-arcs of the graph was considered in part I of the article.)

UDC: 512.542+512.544.42

MSC: 05C25

Received: 02.06.1993


 English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1995, 45:3, 559–576

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