The Open UniversitySkip to content
 

Rigid Steiner triple systems obtained from projective triple systems

Grannell, M. J. and Knor, M. (2014). Rigid Steiner triple systems obtained from projective triple systems. Journal of Combinatorial Designs, 22(7) pp. 279–290.

DOI (Digital Object Identifier) Link: https://doi.org/10.1002/jcd.21357
Google Scholar: Look up in Google Scholar

Abstract

It was shown by Babai in 1980 that almost all Steiner triple systems are rigid; that is, their only automorphism is the identity permutation. Those Steiner triple systems with the largest automorphism groups are the projective systems of orders $2^n-1$. In this paper we show that each such projective system may be transformed to a rigid Steiner triple system by at most $n$ Pasch trades whenever $n\ge 4$.

Item Type: Journal Item
Copyright Holders: 2013 Wiley Periodicals, Inc.
ISSN: 1520-6610
Keywords: automorphism; Pasch configuration; projective triple system; rigid system; Steiner triple system; trade
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 40422
Depositing User: Mike Grannell
Date Deposited: 24 Jun 2014 09:00
Last Modified: 07 Dec 2018 10:24
URI: http://oro.open.ac.uk/id/eprint/40422
Share this page:

Metrics

Altmetrics from Altmetric

Citations from Dimensions

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU