Constructions and topological invariants of 2-(v,3,\(\lambda\) ) designs with group actions
type: Item
instance of: scholarly article
title: Constructions and topological invariants of 2-(v,3,\(\lambda\) ) designs with group actions
zbMATH Open document ID: 0629.05009
DOI: 10.1016/S0195-6698(87)80015-X
author: Neal Brand
author: W. Cary Huffman
published in: European Journal of Combinatorics
publication date: 1987-01-01T00:00:00Z
review text: Methods for constructing and distinguishing 2-designs using topological invariants are given in the paper. The authors find invariants of a design \(\tilde {\mathcal B}\) in terms of a topological structure associated with a predesign \({\mathcal B}\) (a family of generalized difference sets). When designs have a natural group of actions with 0 or 1 fixed points these invariants are easily computed and methods of constructing 2- (v,3,\(\lambda)\) designs with such a group action are given.
reviewed by: M.Kratko
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4023290
zbMATH Keywords: construction
zbMATH Keywords: 2-designs
zbMATH Keywords: group action
MaRDI profile type: Publication
cites work: Twofold triple systems and graph imbeddings
cites work: Cyclic difference sets
cites work: ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
cites work: Topological invariants of 2-designs arising from difference families
cites work: Difference Sets in a Finite Group
cites work: On Cyclic Steiner 2-Designs
cites work: An Updated Bibliography and Survey of Steiner Systems
cites work: Q4150353
cites work: Voltage graphs
cites work: Generating all graph coverings by permutation voltage assignments
cites work: Q5592263
cites work: The Existence and Construction of Balanced Incomplete Block Designs
cites work: Steiner triple systems with rotational automorphisms
cites work: Abelian Steiner Triple Systems
cites work: Block designs and graph imbeddings
description: scientific article; zbMATH DE number 4023290