Automorphism groups of block designs which are block transitive
type: Item
instance of: scholarly article
title: Automorphism groups of block designs which are block transitive
zbMATH Open document ID: 0586.05004
DOI: 10.1016/0012-365X(85)90151-7
published in: Discrete Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Let G be a block-transitive group of automorphisms of a BIBD. Let \(r(G_ B)\) be the (generalized) rank of \(G_ B\) (B a block), and t be the number of orbits of \(G_ B\). Then \(r(G)=r(G_ B)-t+1\). Proofs are simple and enlightening. A classification of such groups G (acting faithfully on points) with maximal rank is given.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 51A10
zbMATH DE Number: 3939370
zbMATH Keywords: block transitive automorphism group
zbMATH Keywords: rank of a permutation group
zbMATH Keywords: BIBD
author: A. R. Camina
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
cites work: Block transitive automorphism groups of designs
cites work: Q5545191
cites work: Steiner triple systems with block-transitive automorphism groups
cites work: Q4071246
cites work: Solvable half-transitive automorphism groups
cites work: Exponential 3/2-transitive permutation groups
full work available at URL: 0012-365x(85)90151-7
OpenAlex ID: W1982857553
description: scientific article; zbMATH DE number 3939370