ON SEIFERT-FIBRE GROUPS AND THE BAILEY-NEUMANN THEOREM

摘要

In this paper, we investigate the Seifert-fiber groups further when they act as the fundamental groups of the 3-dimentional Seifert spaces. The groups under investigation are related to the fundamental groups in a similar way the Fuchsian groups are related to fundamental groups of Riemann surfaces [27-29]. We also discuss the invariant Euler number and its generalization as smooth circle bundle. The essential property of which has been discovered independently by Baily, Raymond Neumann, and Vasquez.