<abstract xmlns="http://www.w3.org/1999/xhtml"> We consider the generalized Hecke groups Hp,q generated by X(z) = -(z -λp)-1, Y (z) = -(z +λq)-1 with <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0035_001.jpg"></inline-graphic> and <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0035_002.jpg"></inline-graphic> where 2 ≤ p ≤ q &lt; ∞, p+q > 4. In this work we study the structure of genus 0 normal subgroups of generalized Hecke groups. We construct an interesting genus 0 subgroup called even subgroup, denoted by <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/auom-2016-0035_003.jpg"></inline-graphic>. We state the relation between commutator subgroup H′p,q of Hp,q defined in [1] and the even subgroup. Then we extend this result to extended generalized Hecke groups H̅p,q. </abstract>

We consider the generalized Hecke groups Hp,q generated by X(z) = -(z -λp)-1, Y (z) = -(z +λq)-1 with and where 2 ≤ p ≤ q < ∞, p+q > 4. In this work we study the structure of genus 0 normal subgroups of generalized Hecke groups. We construct an interesting genus 0 subgroup called even subgroup, denoted by . We state the relation between commutator subgroup H′p,q of Hp,q defined in [1] and the even subgroup. Then we extend this result to extended generalized Hecke groups H̅p,q.

On Normal Subgroups of Generalized Hecke Groups

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"On Normal Subgroups of Generalized Hecke Groups"}

We consider the generalized Hecke groups Hp,q generated by X(z) = -(z -λp)-1, Y (z) = -(z +λq)-1 with  and  where 2 ≤ p ≤ q  4. In this work we study the structure of genus 0 normal subgroups of generalized Hecke groups. We construct an interesting genus 0 subgroup called even subgroup, denoted by . We state the relation between commutator subgroup H′p,q of Hp,q defined in [1] and the even subgroup. Then we extend this result to extended generalized Hecke groups H̅p,q.

We consider the generalized Hecke groups Hp,q generated by X(z) = -(z -λp)-1, Y (z) = -(z +λq)-1 with and where 2 ≤ p ≤ q < ∞, p+q > 4. In this work we study...

On Normal Subgroups of Generalized Hecke Groups

Data publikacji: 21 wrz 2017

Zakres stron: 169 - 184

Otrzymano: 07 maj 2015

Przyjęty: 11 cze 2015

DOI: https://doi.org/10.1515/auom-2016-0035

Słowa kluczowe
Generalized Hecke groups, Extended generalized Hecke groups, Genus 0 normal subgroups, Even subgroups

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Normal Subgroups of Generalized Hecke Groups

Data publikacji: 21 wrz 2017

Zakres stron: 169 - 184

Otrzymano: 07 maj 2015

Przyjęty: 11 cze 2015

DOI: https://doi.org/10.1515/auom-2016-0035

Słowa kluczoweGeneralized Hecke groups, Extended generalized Hecke groups, Genus 0 normal subgroups, Even subgroups

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Słowa kluczowe
Generalized Hecke groups, Extended generalized Hecke groups, Genus 0 normal subgroups, Even subgroups