<abstract xmlns="http://www.w3.org/1999/xhtml"> Let p and q be integers such that 2 ≤ p ≤ q; p + q > 4 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 and Y (z) = -(z+ λq)-1 where λp = 2 cos ≤ π/p and λq = 2 cos π/q . The extended generalized Hecke group H̅p,q is obtained by adding the reection R(z) = 1/z̅ to the generators of generalized Hecke group Hp,q: In this paper, we study the commutator subgroups of generalized Hecke groups Hp,q and extended generalized Hecke groups H̅p,q. </abstract>

Let p and q be integers such that 2 ≤ p ≤ q; p + q > 4 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 and Y (z) = -(z+ λq)-1 where λp = 2 cos ≤ π/p and λq = 2 cos π/q . The extended generalized Hecke group H̅p,q is obtained by adding the reection R(z) = 1/z̅ to the generators of generalized Hecke group Hp,q: In this paper, we study the commutator subgroups of generalized Hecke groups Hp,q and extended generalized Hecke groups H̅p,q.

Commutator Subgroups of Generalized Hecke and Extended 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":"Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups"}

Let p and q be integers such that 2 ≤ p ≤ q; p + q > 4 and let Hp,q be the generalized Hecke group associated to p and q: The generalized Hecke group Hp,q is...

Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups

Pubblicato online: 31 mar 2018

Pagine: 159 - 168

Ricevuto: 06 feb 2016

Accettato: 20 giu 2017

DOI: https://doi.org/10.2478/auom-2018-0010

Parole chiave
Generalized Hecke groups, Extended generalized Hecke groups, commutator subgroups

© 2018

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

Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups

Pubblicato online: 31 mar 2018

Pagine: 159 - 168

Ricevuto: 06 feb 2016

Accettato: 20 giu 2017

DOI: https://doi.org/10.2478/auom-2018-0010

Parole chiaveGeneralized Hecke groups, Extended generalized Hecke groups, commutator subgroups

© 2018

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

Parole chiave
Generalized Hecke groups, Extended generalized Hecke groups, commutator subgroups