Motivated by the Ahrens-Szekeres-Quadrangles I present a variation of the 4-gonal families method of construction introduced by Kantor in 1980. Since a long time it has been known the relation between generalized quadrangles of order (s,s) and of order (s-1,s+1). A geometrical description of this interrelation was given by Payne in 1971 and rests on the notion of regular points or rather of regular lines. In this paper I develop these connections algebraically in the hope of getting more insight into them from the group theoretical point of view. In this way I am able to characterize two classes of known 4-gonal configurations.

Characterization of some 4-gonal configurations of AHRENS-SZEKERES type / Ghinelli, Dina. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - (In corso di stampa), pp. 1-22.

Characterization of some 4-gonal configurations of AHRENS-SZEKERES type

GHINELLI, Dina
In corso di stampa

Abstract

Motivated by the Ahrens-Szekeres-Quadrangles I present a variation of the 4-gonal families method of construction introduced by Kantor in 1980. Since a long time it has been known the relation between generalized quadrangles of order (s,s) and of order (s-1,s+1). A geometrical description of this interrelation was given by Payne in 1971 and rests on the notion of regular points or rather of regular lines. In this paper I develop these connections algebraically in the hope of getting more insight into them from the group theoretical point of view. In this way I am able to characterize two classes of known 4-gonal configurations.
9999
Coset Geometries; Generalized Quadrangles
01 Pubblicazione su rivista::01a Articolo in rivista
Characterization of some 4-gonal configurations of AHRENS-SZEKERES type / Ghinelli, Dina. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - (In corso di stampa), pp. 1-22.
File allegati a 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: https://hdl.handle.net/11573/356803
 Attenzione

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

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact