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

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\u27s biplane B20, Salwach and Mezzaroba\u27s biplane B22, Denniston\u27s biplane B24 and Denniston\u27s biplane B26

On some Hilbert\u27s type inequalities

A generalization of the well-known Hilbert’s inequality is given. Several other results of this type in recent years follows as a special case of our result

On some Hilbert\u27s type inequalities

A generalization of the well-known Hilbert’s inequality is given. Several other results of this type in recent years follows as a special case of our result

Biplanes (79, 13, 2) with involutory automorphism

AbstractWe show that each (79, 13, 2) biplane admitting an involutory automorphism is isomorphic to one of the two designs constructed by Aschbacher