Abstract
This paper discusses discrete elementary subgroups in the Mobius group M(R ̂n). With a help of geometry, it is proved that these groups are isomorphic to either a group extension of Z by a finite subgroup of SO(n) or an extension of a finite group by a free Abelian group of rank k ≤ n.
| Original language | English |
|---|---|
| Pages (from-to) | 1047-1053 |
| Number of pages | 7 |
| Journal | Science in China Series A-Mathematics Physics Astronomy and Technological Science |
| Volume | 36 |
| Issue number | 9 |
| State | Published - Sep 1993 |
Keywords
- Bieberbach group
- Euclidean geometry orbifold
- Mobius group
- elementary group