A symmetric BIBD with trivial automorphism group
type: Item
instance of: scholarly article
title: A symmetric BIBD with trivial automorphism group
zbMATH Open document ID: 0575.05006
DOI: 10.1016/0097-3165(85)90042-1
author: John Wesley Brown
author: E. T. Parker
published in: Journal of Combinatorial Theory. Series A
publication date: 1985-01-01T00:00:00Z
review text: Iff combinatorial conditions for a BIBD(r-1,b,r,\(\lambda\)-1,\(\lambda)\) with \(vr=b(\lambda +1)\) to be embeddable as a derived design in a SBIBD are given. Using the above conditions a BIBD is completed to 13 nonisomorphic SBIBD(36,15,6); several of them have no proper automorphisms.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 3918371
zbMATH Keywords: rigid BIBD
zbMATH Keywords: residual BIBD
zbMATH Keywords: SBIBD
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: 0097-3165(85)90042-1
OpenAlex ID: W1979795248
cites work: Q4087205
cites work: Q3939823
cites work: Q3222881
cites work: Q5592263
cites work: An Embedding Theorem for Balanced Incomplete Block Designs
cites work: A result in balanced incomplete block designs
cites work: Q3280504
cites work: Interconnections of related BIBDs
description: scientific article; zbMATH DE number 3918371