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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2008 Volume 84, Issue 4, Pages 516–526 (Mi mzm4096)
This article is cited in 2 papers

On Automorphisms of a Generalized Octagon of Order $(2,4)$

I. N. Belousov, A. A. Makhnev

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

Abstract: Possible orders and fixed-point subgraphs of automorphisms of a generalized octagon of order $(2,4)$ are found. The vertex-symmetric generalized octagon of order $(2,4)$ is proved to be classical.

Keywords: nonoriented graph, distance-regular graph, subgraph, generalized $n$-gon, finite simple group, Tits group, Chevalley group, geodesic path, adjacency matrix.

UDC: 519.14+512.54

Received: 20.04.2007

DOI: 10.4213/mzm4096


 English version: Mathematical Notes, 2008, 84:4, 483–492

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© Steklov Math. Inst. of RAS, 2025