On the symmetric block design with parameters (153, 57, 21)

  • Rexhep Gjergji
Keywords: Symmetric Block Design, Collineation group, Frobenius group, Orbital structure

Abstract

In this paper it is proved that:
A) Up to isomorphism and duality there are exactly two possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the Frobenius group F_{17·16}

B) Up to isomorphism and duality there are exactly 16 possible orbital structures for a putative symmetric block design with parameters (153, 57, 21) constructed using the collineation group G.

Published
2010-01-18
Section
Articoli