Jorgensen's inequality for classical Schottky groups of real type

摘要

In this paper we consider Jergensen's inequalities for classical Schottky groups of the real type. The infimum of Jorgensen's numbers for groups of types Ⅱ, Ⅴ and Ⅶ are 16, 4(1 + 2~(1/2))~2 and 4(1+ 2~(1/2))~2, respectively, each of which is the best possible for Jergensen's inequality.