Vol. 11, No. 1, 2010

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Deletions, extensions, and reductions of elliptic semiplanes

Marién Abreu, Martin Funk, Domenico Labbate and Vito Napolitano

Vol. 11 (2010), No. 1, 139–155
DOI: 10.2140/iig.2010.11.139
Abstract

We present three constructions which transform some symmetric configuration K of type nk into new symmetric configurations of types (n + 1)k, or nk1, or ((λ 1)μ)k1 if n = λμ. Applying them to Desarguesian elliptic semiplanes, an infinite family of new configurations comes into being, whose types fill large gaps in the parameter spectrum of symmetric configurations.

Keywords
configurations, elliptic semiplanes, 1-factors, Martinetti extensions
Mathematical Subject Classification 2010
Primary: 05B30
Milestones
Received: 15 May 2008
Accepted: 7 July 2009
Authors
Marién Abreu
Martin Funk
Domenico Labbate
Vito Napolitano