Classification of flag-transitive Steiner quadruple systems
Combinatorics
2007-05-23 v1 Group Theory
Abstract
A Steiner quadruple system of order v is a 3-(v,4,1) design, and will be denoted SQS(v). Using the classification of finite 2-transitive permutation groups all SQS(v) with a flag-transitive automorphism group are completely classified, thus solving the "still open and longstanding problem of classifying all flag-transitive 3-(v,k,1) designs" for the smallest value of k. Moreover, a generalization of a result of H. Lueneburg (1965, Math. Z. 89, 82-90) is achieved.
Keywords
Cite
@article{arxiv.math/0401117,
title = {Classification of flag-transitive Steiner quadruple systems},
author = {Michael Huber},
journal= {arXiv preprint arXiv:math/0401117},
year = {2007}
}
Comments
11 pages