Two new classes of S-spaces are constructed. The first one is obtained extending a method due to Barlotti and Cofman (1974), based on the derivation in an affine plane introduced by Ostrom (1964). The second one is connected with a still unsolved classification problem raised by Sved (1982) on Baer subspaces of $\mathrm{PG}(r,q^{2})$, and it provides a new family of S-spaces whenever a certain case of Sved's classification occurs.

### Two methods for constructing S-spaces

#### Abstract

Two new classes of S-spaces are constructed. The first one is obtained extending a method due to Barlotti and Cofman (1974), based on the derivation in an affine plane introduced by Ostrom (1964). The second one is connected with a still unsolved classification problem raised by Sved (1982) on Baer subspaces of $\mathrm{PG}(r,q^{2})$, and it provides a new family of S-spaces whenever a certain case of Sved's classification occurs.
##### Scheda breve Scheda completa Scheda completa (DC)
2003
File in questo prodotto:
File
Modena_51.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 2.83 MB
Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/1536