Some special cases of the minimal polynomial of 2cos(pi/q) over q
No Thumbnail Available
Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Pyhsics
Abstract
The number lambda(q) - 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups of the first kind, and in the study of regular polyhedra. Here we obtained some results on the values of the minimal polynomial of this number in modulo prime p. This results help in the calculation of the congruence subgroups of the Hecke groups which is an important problem in discrete group theory.
Description
Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.
Keywords
Mathematics, Hecke groups, Roots of unity, Chebycheff polynomials, Minimal polynomial
Citation
Togan, M. vd. (2011). "Some special cases of the minimal polynomial of 2cos(pi/q) over q". ed. T. E. Simos. AIP Conference Proceedings, Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 375-377.