Geodesic
Combinatorics/Group Theory
Commutator subgroups of the power subgroups of Hecke groups H(λq) II
[Sous-groupes commutateur de puissance sous-groupes H(λq) II]

Présenté par : the Editorial Board

Sahin, Recep1 ; Koruoğlu, Özden2
1 Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10145 Balıkesir, Turkey
2 Balıkesir Üniversitesi, Necatibey Eğitim Fakültesi, İlkogretim Bölümü, 10100 Balıkesir, Turkey
Comptes Rendus. Mathématique, Tome 349 (2011) no. 3-4, pp. 127-130.

Voir la notice de l'article provenant de la source Numdam

Let q⩾3 be an odd number and let H(λq) be the Hecke group associated to q. Let m be a positive integer and let Hm(λq) be the m-th power subgroup of H(λq). In this work, we study the commutator subgroups of the power subgroups Hm(λq) of H(λq).

Soit q⩾3 un nombre impair et soit H(λq) le groupe de Hecke associé à q. Soit m un entier positif et soit Hm(λq) le sous-groupe des puissances m-ièmes de H(λq). Dans ce travail, nous étudions les sous-groupes commutateurs des puissances sous-groupes Hm(λq) de H(λq).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.01.003

Sahin, Recep 1 ; Koruoğlu, Özden 2

1 Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10145 Balıkesir, Turkey
2 Balıkesir Üniversitesi, Necatibey Eğitim Fakültesi, İlkogretim Bölümü, 10100 Balıkesir, Turkey 
@article{CRMATH_2011__349_3-4_127_0,
     author = {Sahin, Recep and Koruo\u{g}lu, \"Ozden},
     title = {Commutator subgroups of the power subgroups of {Hecke} groups $ H({\lambda }_{q})$ {II}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {127--130},
     publisher = {Elsevier},
     volume = {349},
     number = {3-4},
     year = {2011},
     doi = {10.1016/j.crma.2011.01.003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.01.003/}
}
TY  - JOUR
AU  - Sahin, Recep
AU  - Koruoğlu, Özden
TI  - Commutator subgroups of the power subgroups of Hecke groups $ H({\lambda }_{q})$ II
JO  - Comptes Rendus. Mathématique
PY  - 2011
SP  - 127
EP  - 130
VL  - 349
IS  - 3-4
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.01.003/
DO  - 10.1016/j.crma.2011.01.003
LA  - en
ID  - CRMATH_2011__349_3-4_127_0
ER  - 
%0 Journal Article
%A Sahin, Recep
%A Koruoğlu, Özden
%T Commutator subgroups of the power subgroups of Hecke groups $ H({\lambda }_{q})$ II
%J Comptes Rendus. Mathématique
%D 2011
%P 127-130
%V 349
%N 3-4
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.01.003/
%R 10.1016/j.crma.2011.01.003
%G en
%F CRMATH_2011__349_3-4_127_0
Sahin, Recep; Koruoğlu, Özden. Commutator subgroups of the power subgroups of Hecke groups $ H({\lambda }_{q})$ II. Comptes Rendus. Mathématique, Tome 349 (2011) no. 3-4, pp. 127-130. doi : 10.1016/j.crma.2011.01.003. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.01.003/

[1] Cangül, I.N.; Singerman, D. Normal subgroups of Hecke groups and regular maps, Math. Proc. Camb. Phil. Soc., Volume 123 (1998), pp. 59-74

[2] Cangül, I.N.; Sahin, R.; Ikikardes, S.; Koruoğlu, Ö. Power subgroups of some Hecke groups. II, Houston J. Math., Volume 33 (2007) no. 1, pp. 33-42

[3] Evans, R.J. A new proof on the free product structure of Hecke groups, Publ. Math. Debrecen, Volume 22 (1975) no. 1–2, pp. 41-42

[4] Hecke, E. Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichungen, Math. Ann., Volume 112 (1936), pp. 664-699

[5] Ikikardes, S.; Koruoğlu, Ö.; Sahin, R. Power subgroups of some Hecke groups, Rocky Mountain J. Math., Volume 36 (2006) no. 2, pp. 497-508

[6] R. Sahin, Ö. Koruoğlu, Commutator subgroups of the power subgroups of Hecke groups H(λq), Ramanujan J., , in press. | DOI

Cité par Sources :