On positive definite quadratic forms and the extended hecke group (H)over-bar(root 2)

Abstract

In this work, our main goal is to determine the connection between positive quadratic forms F = (a, b, c) in (H) over bar (root 2) whose base points z = z(F) lie on the line x = -root 2/m and the elements of extended Hecke group (H) over bar (root 2).