๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the existence of certain generalized Moore geometries, V

โœ Scribed by R.M. Damerell; C. Roos; A.J. van Zanten

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
575 KB
Volume
76
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis

It is shown that generalized Moore geometries of type GM,,&, t, s + 1) cannot exist if m = 5. Combined with the results of a number of earlier papers this leads to the ensuing conclusion that such structures do not exist for m > 4.

๐Ÿ“œ SIMILAR VOLUMES

On the existence of certain generalized
On the existence of certain generalized Moore geometries, part II
โœ C. Roos; A.J. van Zanten ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 599 KB

The existence of generalized Moore geometries of typs GM,(s, o, s + l), with st > 1, is investigated. In a previous paper it was shown that if the diameter m is odd such a geometry can exist only if ~1~7; as a consequence of the main result of the present paper the re-stktion 'm is odd has bewme sup

The degree of the eigenvalues of general
The degree of the eigenvalues of generalized Moore geometries
โœ A.J van Zanten ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 453 KB

Using elementary methods it is proved that the eigenvalues of generalized Moore geometries of type GM,,,(s, t, c) are of degree at most 3 with respect to the field of rational numbers, if st> 1.

On the existence of generalized inverses
On the existence of generalized inverses
โœ Gary W. Hansen; Donald W. Robinson ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 529 KB