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

Sahin, Recep; Koruoğlu, Özden

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

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

Comptes Rendus. Mathématique, Tome 349 (2011) no. 3-4, pp. 127-130

Abstract (VO)
Résumé

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 $H (λ_{q})$ .

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 $H (λ_{q})$ .

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 :

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

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

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