Normal Subgroups of Hecke Groups H(λ)

Let λ  ≥ 2 and let H ( λ ) be the Hecke group associated to λ . Also let H ( λ )\ U be the Riemann surface associated to the Hecke group H ( λ ). In this article, we study the even subgroup H e ( λ ) and the power subgroups H m ( λ ) of the Hecke groups H ( λ ). We also study some genus 0 normal sub...

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Veröffentlicht in:Algebras and representation theory 2010-04, Vol.13 (2), p.219-230
Hauptverfasser: Koruoğlu, Özden, Sahin, Recep, İkikardes, Sebahattin, Cangül, Ismail Naci
Format: Artikel
Sprache:eng
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Zusammenfassung:Let λ  ≥ 2 and let H ( λ ) be the Hecke group associated to λ . Also let H ( λ )\ U be the Riemann surface associated to the Hecke group H ( λ ). In this article, we study the even subgroup H e ( λ ) and the power subgroups H m ( λ ) of the Hecke groups H ( λ ). We also study some genus 0 normal subgroups of finite index of H ( λ ). Finally, we discuss free normal subgroups of H ( λ ).
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-008-9116-3