Principal congruence subgroups of the Hecke groups and related results

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Atıf İçin Kopyala

İKİKARDEŞ S., ŞAHİN R., CANGÜL İ. N.

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, cilt.40, sa.4, ss.479-494, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 40 Sayı: 4
• Basım Tarihi: 2009
• Doi Numarası: 10.1007/s00574-009-0023-y
• Dergi Adı: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.479-494
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, first, we determine the quotient groups of the Hecke groups H(lambda(q)), where q >= 7 is prime, by their principal congruence subgroups H-p(lambda(q)) of level p, where p is also prime. We deal with the case of q = 7 separately, because of its close relation with the Hurwitz groups. Then, using the obtained results, we find the principal congruence subgroups of the extended Hecke groups (H) over tilde(lambda(q)) for q >= 5 prime. Finally, we show that some of the quotient groups of the Hecke group H(lambda(q)) and the extended Hecke group (H) over bar (lambda(q)), q >= 5 prime, by their principal congruence subgroups H-p(lambda(q)) are M*-groups.