The L₃(4) near octagon

2016/10/18 by Anurag Bishnoi, Bishnoi, Anurag, Bart De Bruyn +1
Computer Science · Engineering · Mathematics · #05E18 #51E12 #51E25 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1610.05607

openalex publication_date 2016/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In recent work we constructed two new near octagons, one related to the finite simple group G₂(4) and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group L₃(4). We derive several geometric properties of this L₃(4) near octagon, and determine its full automorphism group. We also prove that the L₃(4) near octagon is closely related to the second subconstituent of the distance-regular graph on 486 vertices discovered by Soicher in 1993.

Citations

• The uniqueness of a distance-regular graph with intersection array 32,27,8,1;1,4,27,32 and related results

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