Let Gamma be an extended tilde geometry of rank n > 2 such that there exists a 1-covering gamma : Gamma -> Phi where Phi is a c.Cn-1-geometry with orders 1, 2,..., 2. Suppose that the normalizer in Aut(Gamma) of the deck group of gamma acts flag-transitively on Gamma. We prove that, under these hypotheses, only three possibilities exist for the universal cover of Gamma.

Pasini, A. (2008). On three families of extended tilde geometries. EUROPEAN JOURNAL OF COMBINATORICS, 29(1), 9-23 [10.1016/j.ejc.2007.02.001].

On three families of extended tilde geometries

PASINI, ANTONIO
2008

Abstract

Let Gamma be an extended tilde geometry of rank n > 2 such that there exists a 1-covering gamma : Gamma -> Phi where Phi is a c.Cn-1-geometry with orders 1, 2,..., 2. Suppose that the normalizer in Aut(Gamma) of the deck group of gamma acts flag-transitively on Gamma. We prove that, under these hypotheses, only three possibilities exist for the universal cover of Gamma.
Pasini, A. (2008). On three families of extended tilde geometries. EUROPEAN JOURNAL OF COMBINATORICS, 29(1), 9-23 [10.1016/j.ejc.2007.02.001].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/17506
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo