SOME NORMAL SUBGROUPS OF THE EXTENDED HECKE GROUPS H̅(λ p )

R Sahin, S Ikikardes, Ö Koruoğlu - The Rocky Mountain Journal of …, 2006 - JSTOR
We consider the extended Hecke groups H̅ (λp) generated by T (z)=—1/z, S (z)=—1/(z+ λp)
and R (z)= 1/z̄ with λp= 2 cos (π/p) for p≥ 3 prime number. In this article, we study the …

Commutator subgroups of the power subgroups of some Hecke groups

R Sahin, Ö Koruoğlu - The Ramanujan Journal, 2011 - Springer
Let q≥ 3 be a prime and let H (λ q) be the Hecke group associated to q. Let m be a positive
integer and 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 of Hecke groups H (λq) II

R Sahin, Ö Koruoğlu - Comptes Rendus Mathematique, 2011 - Elsevier
Commutator subgroups of the power subgroups of Hecke groups H(λq) II Page 1 CR Acad.
Sci. Paris, Ser. I 349 (2011) 127–130 Contents lists available at ScienceDirect CR Acad. Sci …

Power and free normal subgroups of generalized Hecke groups

R Sahin, T Meral, Ö Koruoğlu - Asian-European Journal of …, 2020 - World Scientific
Let p and q be integers such that 2≤ p≤ q, p+ q> 4 and let H p, q be generalized Hecke
group associated to p and q. Generalized Hecke group H p, q is generated by X (z)=−(z− λ …

On commutator and power subgroups of some Coxeter groups

F Ateş, EK Çetinalp, EG Karpuz, IN Cangül, AS Çevik - 2016 - dspace.balikesir.edu.tr
In this paper the commutator subgroups of the affine Weyl group of type Cn-1 (n≥ 3) and the
triangle Coxeter groups are studied. Also it is given all power subgroups of the affine Weyl …

Genelleştirilmiş ve genişletilmiş genelleştirilmiş Hecke gruplarının bazı normal alt grupları

G Doğrayıcı - 2021 - dspace.balikesir.edu.tr
Bu çalışmada genelleştirilmiş ve genişletilmiş genelleştirimiş Hecke grupları üzerinde
çalışılmıştır. Tez beş bölümden oluşmaktadır. Birinci bölümde genelleştirilmiş ve …

[PDF][PDF] Some normal subgroups of extended generalized Hecke groups

B Demir, Ö Koruoğlu, R Şahin - Hacettepe Journal of Mathematics …, 2016 - dergipark.org.tr
Generalized Hecke group H p,∞(λ) is generated by X (z)=−(z− λ p)− 1and Y (z)=−(z+ λ)− 1
where λ p= 2 cos πp, p≥ 2 integer and λ≥ 2. Extended generalized Hecke group H p,∞(λ) …

Some normal subgroups of the extended Hecke groups H (lambda (p))

R Şahin, S İkikardeş, Ö Koruoğlu - 2006 - dspace.balikesir.edu.tr
We consider the extended Hecke groups (H) over bar (lambda p) generated by T (z)=-1/z, S
(z)=-1/(z+ lambda p) and R (z)= 1/(z) over bar with lambda P= 2 cos (pi/p) for p>= 3 prime …

Commutator subgroups of the power subgroups of generalized Hecke groups

Ö Koruoğlu, T Meral, R Sahin - Algebra and Discrete …, 2019 - dspace.nbuv.gov.ua
Let p, q≥ 2 be relatively prime integers and let Hp, q be the generalized Hecke group
associated to p and q. The generalized Hecke group Hp, q is generated by X (z)=−(z− λp)⁻ ¹ …

[PDF][PDF] Commutator subgroup of the Hecke group is not congruence

CL Lang, ML Lang - arXiv preprint arXiv:1401.1567, 2014 - arxiv.org
arXiv:1401.1567v2 [math.GR] 16 Jan 2014 Page 1 arXiv:1401.1567v2 [math.GR] 16 Jan 2014
THE COMMUTATOR SUBGROUP OF THE HECKE GROUP G5 IS NOT CONGRUENCE …