A CONSTRUCTIVE METHOD FOR THE CYCLOIDAL NORMAL FREE SUBGROUPS OF FINITE INDEX OF HECKE GROUPS H (root 2) AND H (root 3)
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, vol.1, pp.429-436, 2006 (ESCI)
- Publication Type: Article / Article
- Volume: 1
- Publication Date: 2006
- Journal Name: BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.429-436
- Bursa Uludag University Affiliated: Yes
Abstract
Cycloidal subgrups of the modular group are studied in [8]. Here cycloidal free normal subgroups of Hecke groups are considered. It is found that when q equivalent to 2 ( mod 4), H ( lambda(q)) has no such subgroups. In all other cases the signatures of these subgroups are constructed by means of q-gons and their signatures are given.