Biplanes (56, 11, 2) with involutory collineation fixing 6 points
type: Item
instance of: scholarly article
title: Biplanes (56, 11, 2) with involutory collineation fixing 6 points
zbMATH Open document ID: 0708.05012
DOI: 10.1016/0097-3165(90)90028-U
author: Lj. Marangunić
published in: Journal of Combinatorial Theory. Series A
publication date: 1990-01-01T00:00:00Z
review text: In this paper under review, a complete classification of biplanes (56,11,2) admitting an involutory collineation that fixes six points is given. More specifically, it is shown that each of these biplanes is up to isomorphism one of the following: Hall's biplane \(B_{20}\), Salwach and Mezzaroba's biplane \(B_{22}\), Denniston's biplane \(B_{24}\), or the biplane described by \textit{Z. Janko} and \textit{Tran Van Trung} in J. Comb. Theory, Ser. A 42, 305-309 (1986; Zbl 0656.05019).
reviewed by: J.Libicher
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E10
zbMATH DE Number: 4162892
zbMATH Keywords: complete classification
zbMATH Keywords: biplanes
MaRDI profile type: Publication
cites work: The four known biplanes with k=11
cites work: A new biplane of order 9 with a small automorphism group
full work available at URL: 0097-3165(90)90028-u
OpenAlex ID: W2018897534
description: scientific article; zbMATH DE number 4162892