Commutator subgroups of the power subgroups of?some Hecke groups |
| |
Authors: | Recep Sahin ?zden Koruo?lu |
| |
Institution: | 1. Fen-Edebiyat Fak??ltesi, Matematik B?l??m??, Bal?kesir ??niversitesi, 10145 ?a??? Kamp??s??, Bal?kesir, Turkey 2. Necatibey E?itim Fak??ltesi, ?lkogretim B?l??m??, Matematik Egitimi, Bal?kesir ??niversitesi, 10100, Bal?kesir, Turkey
|
| |
Abstract: | Let q??3 be a prime and let H(?? q ) be the Hecke group associated to q. Let m be a positive integer and H m (?? q ) be the mth power subgroup of H(?? q ). In this work, we study the commutator subgroups of the power subgroups H m (?? q ) of H(?? q ). Then, we give the derived series for all triangle groups of the form (0;2,q,n) for n a positive integer, since there is a nice connection between the signatures of the subgroups we studied and the signatures of these derived series. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|