A CONSTRUCTIVE METHOD FOR THE CYCLOIDAL NORMAL FREE SUBGROUPS OF FINITE INDEX OF HECKE GROUPS H (root 2) AND H (root 3)

Setenay Dogan; Musa Demirci; Osman Bizim; Ismail Naci Cangul

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A CONSTRUCTIVE METHOD FOR THE CYCLOIDAL NORMAL FREE SUBGROUPS OF FINITE INDEX OF HECKE GROUPS H (root 2) AND H (root 3)

Setenay Dogan, Musa Demirci, Osman Bizim and Ismail Naci Cangul

Bulletin of the Institute of Mathematics, Academia Sinica, Vol.1(3), pp.429-436

01/09/2006

Abstract

Mathematics

Physical Sciences

Science & Technology

Cycloidal subgrups of the modular group are studied in [8]. Here cycloidal free normal subgroups of Hecke groups are considered. It is found that when q equivalent to 2 ( mod 4), H ( lambda(q)) has no such subgroups. In all other cases the signatures of these subgroups are constructed by means of q-gons and their signatures are given.

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Title: A CONSTRUCTIVE METHOD FOR THE CYCLOIDAL NORMAL FREE SUBGROUPS OF FINITE INDEX OF HECKE GROUPS H (root 2) AND H (root 3)
Creators - without role: Setenay Dogan - Uludağ University
Musa Demirci - Uludağ University
Osman Bizim - Uludağ University
Ismail Naci Cangul - Uludağ University
Publication Details: Bulletin of the Institute of Mathematics, Academia Sinica, Vol.1(3), pp.429-436
Publisher: Acad Sinica
Number of pages: 8
Grant note: F-2004/40; F-2003/63 / Uludag University
Identifiers: 9936497408331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article