Piotrowski’s Infinite Series of Steiner Quadruple Systems Revisited

Helmut Siemon
Additional contact information
Helmut Siemon: Fakultät, PH Ludwigsburg, Math.-Naturwiss

A chapter in Designs and Finite Geometries, 1996, pp 239-254 from Springer

Abstract: Abstract The construction of Bays and deWeck [1] of a Steiner Quadruple System SQS(14) was generalized by Piotrowski in his dissertation ([7], p. 34) to an SQS(2p), p ≡ 7 mod 12 with a group transitive on the points. However he gave no proof of his construction and his presesntation was open to misinterpretation. So Hanfried Lenz suggested to analyse Piotrowski’s construction and to supply it with a proof. In the following we will present Piotrowski’s ideas somewhat differently and will furnish a proof of the construction.

Keywords: Steiner systems; quadruple systems (search for similar items in EconPapers)
Date: 1996
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1395-3_18

Ordering information: This item can be ordered from
http://www.springer.com/9781461313953

DOI: 10.1007/978-1-4613-1395-3_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().