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.

Details

Title
On Normal Subgroups of Generalized Hecke Groups
Author
Demir, Bilal 1 ; Özden Koruoğlu 1 ; Sahin, Recep 2 

1  Necatibey Faculty of Education, Department of Secondary Mathematics Education, Balıkesir University, 10100 Balıkesir, Turkey 
2  Faculty of Science and Arts, Department of Mathematics, Balıkesir University, 10145 Çağış Campus, Balıkesir, Turkey 
Pages
169-184
Publication year
2016
Publication date
2016
Publisher
De Gruyter Poland
ISSN
12241784
e-ISSN
18440835
Source type
Scholarly Journal
Language of publication
English; Romanian; Moldavian; Moldovan
DOI
https://doi.org/10.1515/auom-2016-0035
ProQuest document ID
3155027132
Copyright
© 2016. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.