Design invariants
type: Item
instance of: scholarly article
title: Design invariants
zbMATH Open document ID: 0599.05008
DOI: 10.1007/BF00182904
author: Neal Brand
published in: Geometriae Dedicata
publication date: 1986-01-01T00:00:00Z
review text: The author attaches, in a categorical manner, cell complexes to t-designs (which are allowed to contain repeated blocks). He then specializes to those designs with a regular group of automorphisms and shows how to take a quotient (via the group) of the cell complex to get a more easily manageable invariant. He applies the theory to help distinguish the cyclic 3-(13,4,2) designs, of which there are 33 up to isomorphism. The one invariant computed gives 25 classes 19 of which contain but one design, 2 of which have three, and the remaining 4 two.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 3966085
zbMATH Keywords: automorphism group
zbMATH Keywords: invariants of designs
zbMATH Keywords: t-designs
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00182904
OpenAlex ID: W4249008176
description: scientific article; zbMATH DE number 3966085