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The degree of the eigenvalues of generalized Moore geometries

โœ Scribed by A.J van Zanten

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
453 KB
Volume
67
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

On the existence of certain generalized
On the existence of certain generalized Moore geometries, V
โœ R.M. Damerell; C. Roos; A.J. van Zanten ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 575 KB

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.

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On the existence of certain generalized Moore geometries, part II
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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 geometry of an eigenvalue problem
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โœ M.J Kaiser ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

The geometry of an eigenvalue problem associated with the classical Dirichlet problem is illustrated using constructive geometric techniques. Based on a result of Guggenheimer, a geometric optimization problem defined over a convex domain is formulated and solved, and provides a measure of deviation