Finite Presentation of a Linear-Fractional Group

• 来源期刊: 代数集刊（英文版）
• 关键词: coset diagram modular group linear-fractional transformations rational projective line
• 年，卷（期）: 2005,（4）
• 页码范围: 585-589
• 页数: 5页
• 语种: 英文

摘要

In this paper, we show that the coset diagram for the action of a linearfractional group generated by u: z → z-1/z and v: z →-1/z+1 on the rational projective line is transitive and the coset diagram for the action is connected. Using the coset diagram,we show that u3 = v3 = 1 are defining relations for the group.