Some normal subgroups of extended generalized Hecke groups

被引：0

作者：

Demir, Bilal ^{[1
]}

Koruoglu, Ozden ^{[2
]}

Sahin, Recep ^{[3
]}

机构：

[1] Balikesir Univ, Necatibey Fac Educ, Dept Secondary Math Educ, TR-10100 Balikesir, Turkey

[2] Balikesir Univ, Necatibey Fac Educ, Dept Elementary Math Educ, TR-10100 Balikesir, Turkey

[3] Balikesir Univ, Fac Arts & Sci, Dept Math, 10145 Cagis Campus, Balikesir, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 04期

关键词：

Generalized Hecke groups; Extended generalized Hecke groups; Commutator subgroups; Power subgroups; POWER SUBGROUPS; AUTOMORPHIC-FORMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Generalized Hecke group H-p,H-infinity (lambda) is generated by X(z) = -(z - lambda(p))(-1) and Y(z) = -(z + lambda)(-1) where lambda(p) = 2 cos pi/p, p >= 2 integer and lambda >= 2. Extended generalized Hecke group (H) over bar (p,infinity) (lambda) is obtained by adding the reflection R(z) = 1/(z) over bar to the generators of generalized [lecke group H-p,H-infinity(lambda). In this paper, we study the commutator subgroups of extended generalized [lecke groups (H) over bar (p,infinity) (lambda). Also, we determine the power subgroups of generalized Hecke groups H-p,H-infinity(lambda) and extended generalized Hecke groups (H) over bar (p,infinity)(lambda).

引用

页码：1023 / 1032

页数：10

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