A Non-Existence Result For Finite Projective Planes In Lenz-Barlotti Class I.4

Let Π be a projective plane of order n in Lenz–Barlotti class I.4, and assume that n is a multiple of 3. Then either n=3 or n is a multiple of 9.

Similar content being viewed by others

Finite Projective Planes and the Delsarte LP-Bound

Article 01 March 2018

On projective planes of type I-4

Article 08 May 2017

A Direct Proof of the Strong Hanani–Tutte Theorem on the Projective Plane

Chapter © 2016

Author information

Authors and Affiliations

1. Dipartimento di Matematica, Università di Roma “La Sapienza”, 2, Piazzale Aldo Moro, I-00185, Roma, Italy

   Dina Ghinelli

2. Lehrstuhl für Diskrete Mathematik, Optimierung und Operations Research, Universität Augsburg, D-86135, Augsburg, Germany

   Dieter Jungnickel

Authors

1. Dina Ghinelli
   View author publications

   You can also search for this author in PubMed Google Scholar

2. Dieter Jungnickel
   View author publications

   You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dina Ghinelli.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghinelli, D., Jungnickel, D. A Non-Existence Result For Finite Projective Planes In Lenz-Barlotti Class I.4. Combinatorica 27, 163–166 (2007). https://doi.org/10.1007/s00493-007-0049-y

Download citation

• Received: 11 March 2003

• Issue Date: March 2007

• DOI: https://doi.org/10.1007/s00493-007-0049-y

Mathematics Subject Classification (2000):

• 51A35
• 05B10