Commutator subgroups of the power subgroups of Hecke groups $ H({\lambda }_{q})$ II

Recep Sahin; Özden Koruoğlu

doi:10.1016/j.crma.2011.01.003

Combinatorics/Group Theory

Commutator subgroups of the power subgroups of Hecke groups

H (λ_{q})

II
[Sous-groupes commutateur de puissance sous-groupes

H (λ_{q})

II]

Présenté par : the Editorial Board

Recep Sahin ¹ ; Özden Koruoğlu ²

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, Volume 349 (2011) no. 3-4, pp. 127-130.

Résumé
Abstract

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

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

Reçu le : 2010-12-14
Accepté le : 2011-01-04
Publié le : 2011-01-21

DOI : 10.1016/j.crma.2011.01.003

Affiliations des auteurs :

Recep Sahin ¹ ; Özden Koruoğlu ²

¹ Balıkesir Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 10145 Balıkesir, Turkey
² Balıkesir Üniversitesi, Necatibey Eğitim Fakültesi, İlkogretim Bölümü, 10100 Balıkesir, Turkey

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     author = {Recep Sahin and \"Ozden Koruo\u{g}lu},
     title = {Commutator subgroups of the power subgroups of {Hecke} groups $ H({\lambda }_{q})$ {II}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {127--130},
     publisher = {Elsevier},
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     year = {2011},
     doi = {10.1016/j.crma.2011.01.003},
     language = {en},
}

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Recep Sahin; Özden Koruoğlu. Commutator subgroups of the power subgroups of Hecke groups $ H({\lambda }_{q})$ II. Comptes Rendus. Mathématique, Volume 349 (2011) no. 3-4, pp. 127-130. doi : 10.1016/j.crma.2011.01.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.01.003/

Bibliographie
Cité par

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

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

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

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

[5] S. Ikikardes; Ö. Koruoğlu; R. Sahin 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 $H (λ_{q})$ , Ramanujan J., , in press. | DOI

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