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The Finite Upper Half Space and Related Hypergraphs

✍ Scribed by Marı́a G Martı́nez

Book ID
102605100
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
203 KB
Volume
84
Category
Article
ISSN
0022-314X

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✦ Synopsis

A space generalizing the finite upper half plane is presented along with a projective action by the finite general linear group. A volume generalizing the pseudo-distance on the finite upper half plane is also given. Then this volume is used to create hypergraphs which are analyzed with respect to the Ramanujan property.

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✍ Angel, Jeff; Evans, Ronald 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 370 KB 👁 1 views

Let GF(q) be a finite field of q elements. Let G denote the group of matrices M ( z , y) = (," y ) over GF(q) with y # 0. Fix an irreducible polynomial For each a E G F ( q ) , let X , be the graph whose vertices are the q2 -q elements of G, with two vertices M ( z , y), M ( v , w) joined by an edg

Twisted Spherical Functions on the Finit
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In this note we compute explicit formulae for the twisted spherical functions for the finite analogue of (the double cover of) the classical Poincaré upper half-plane, in any characteristic, and we obtain a uniform description for them resembling the one given by [Curtis (1993, J. Algebra 157, 517-5