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Transformation Systems for Incidence Structures

✍ Scribed by G. Rinaldi; L.A. Rosati

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
83 KB
Volume
20
Category
Article
ISSN
0195-6698

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✦ Synopsis

By taking into account the transformation technique of Quattrocchi and Rosati, we study how to generate transformation systems for an incidence structure by starting from some given generating blocks and by a suitable permutation of the points. Furthermore, the method is applied to obtain the finite AndrΓ© planes by means of a minimal set of generating lines of Desarguesian planes.

πŸ“œ SIMILAR VOLUMES

Transformation of designs and other inci
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✍ Pasquale Quattrocchi; Luigi Antonio Rosati πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 369 KB

We introduce a procedure which 'transforms' a given incidence structure into another one, provided certain conditions are met. \* Work performed under the auspices of GNSAGA of CNR supported by the 40~ and 60~ grants of MURST.

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✍ S.D. GARVEY; M.I. FRISWELL; U. PRELLS πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 303 KB

It has been shown in a previous paper that there is a real-valued transformation from the general N-degree-of-freedom second order system to a second order system characterized by diagonal matrices. An immediate extension of this fact is that for any second order system, there is a set of real-value