We present three constructions which transform some symmetric configurations $\cal{K}$ of type $n_k$ into new symmetric configurations of types $(n + 1)_k$, or $n_{k−1}$, or $((\lambda − 1) \mu )_{k−1}$ if $n = \lambda \mu$. 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.
Deletions, Extensions and Reductions of Elliptic Semiplanes
ABREU, Marien;FUNK, Martin;LABBATE, Domenico;
2010-01-01
Abstract
We present three constructions which transform some symmetric configurations $\cal{K}$ of type $n_k$ into new symmetric configurations of types $(n + 1)_k$, or $n_{k−1}$, or $((\lambda − 1) \mu )_{k−1}$ if $n = \lambda \mu$. 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.File in questo prodotto:
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