4 research outputs found
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 Hilbertās 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 Hilbertās 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