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.

引用

页码：191 / 201

页数：11

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