CONSTRUCTION OF CYCLOIDAL FREE SUBGROUPS OF HECKE GROUPS OF FINITE INDEX

被引：0
|
作者：
Yurttas, Aysun [1 ]
Demirci, Musa [1 ]
Ozbay, Hatice [1 ]
Capkin, Muge [1 ]
Cangul, Ismail Naci [1 ]
机构：
[1] Uludag Univ, Fac Sci & Arts, Dept Math, TR-16059 Bursa, Turkey
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2009年 / 14卷 / 02期
关键词：
Hecke groups; cycloidal subgroup; parabolic class number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Cycloidal subgroups of the modular group are studied in [7]. Cycloidal normal subgroups of the Hecke groups, which are generalisations of the modular group, are studied in [2]. Here we study cycloidal free subgroups of Hecke groups. These are subgroups with signature (g; infinity). Here these subgroups are given by their signatures for q = 4, 5, 6 first, and then for all q. It is found that when q equivalent to 2 mod 4, H(lambda(q)) has no cycloidal free subgroups.
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页码：191 / 201
页数：11
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