Original scientific paper

Biplanes (56,11,2) with a fixed-point-free involutory automorphism

Mario Essert
Ljubo Marangunić

Abstract

The aim of this article is to prove that exactly four biplanes with parameters (56,11,2) admit a fixed-point-free action of an involutory automorphism. These are: Hall's biplane B20, Salwach and Mezzaroba's biplane B22, Denniston's biplane B24 and Denniston's biplane B26.

Keywords

Biplane; design; automorphism group; orbit; orbit structure

Hrčak ID:

392

URI

https://hrcak.srce.hr/392

Publication date:

21.5.2005.

Visits: 860 *