Finite upper half planes have been studied by Terras, Poulos, Celniker, Trimble, and Velasquez. Motivated by Stark's p-adic upper half plane as a p-adic analog of the Poincare Β΄upper half plane, a finite field of odd characteristic was used as the finite analog of the real line. The analog of the up
On a class of finite upper half-planes
β Scribed by Mihai Caragui
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 830 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
In this note we compute explicit formulae for the twisted spherical functions for the finite analogue of (the double cover of) the classical PoincarΓ© 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
The finite upper half planes over finite fields and rings are finite analogues of the PoincarΓ© upper half plane. The general linear group G acts transitively on the finite upper half plane. Let K denote the stabilizer of a point. In the case of fields, it is well-known that the pair of (G, K) is a G