İ. Naci CANGÜL, Osman BİZİM

82108

Cycloidal Normal Subgroups of Hecke Groups of Finite Index

Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the well-known modular group, are studied. It is shown that they correspond to cyclic quotients of Hecke groups and therefore have non-compact associated Riemann surfaces with a cusp. Finally, their total number have been formulated.

Anahtar Kelimeler:

Turk. J. Math., 23, (1999), 345-354. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.2.

Cycloidal Normal Subgroups of Hecke Groups of Finite Index

Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the well-known modular group, are studied. It is shown that they correspond to cyclic quotients of Hecke groups and therefore have non-compact associated Riemann surfaces with a cusp. Finally, their total number have been formulated.

Keywords:

Turk. J. Math., 23, (1999), 345-354. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.23, iss.2.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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