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
收藏
页码：191 / 201
页数：11
相关论文
共 50 条
  • [41] Principal congruence subgroups of the Hecke groups
    Lang, ML
    Lim, CH
    Tan, SP
    JOURNAL OF NUMBER THEORY, 2000, 85 (02) : 220 - 230
  • [42] Commutator subgroups of the power subgroups of some Hecke groups
    Recep Sahin
    Özden Koruoğlu
    The Ramanujan Journal, 2011, 24 : 151 - 159
  • [43] Subgroups of finite index in groups with finite complete rewriting systems
    Pride, SJ
    Wang, J
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2000, 43 : 177 - 183
  • [44] Normal congruence subgroups of Hecke groups
    Chen, Bo
    Yuan, Pingzhi
    ALGEBRA COLLOQUIUM, 2008, 15 (04) : 707 - 720
  • [45] Power subgroups of some Hecke groups
    Ikikardes, Sebahattin
    Koruoglu, Ozden
    Sahin, Recep
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (02) : 497 - 508
  • [46] POWER SUBGROUPS OF THE EXTENDED HECKE GROUPS
    Sarigedik, Zehra
    Ikikardes, Sebahattin
    Sahin, Recep
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 483 - 490
  • [47] Normal Subgroups of Hecke Groups H(λ)
    Özden Koruoğlu
    Recep Sahin
    Sebahattin İkikardes
    Ismail Naci Cangül
    Algebras and Representation Theory, 2010, 13 : 219 - 230
  • [48] ABELIAN RANK OF NORMAL TORSION-FREE FINITE INDEX SUBGROUPS OF POLYHEDRAL GROUPS
    LEE, YW
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 290 (02) : 735 - 745
  • [49] On free modules for finite subgroups of algebraic groups
    Donkin, S
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1997, 55 : 287 - 296
  • [50] Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups
    Kaymak , Sule
    Demir, Bilal
    Koruoglu, Ozden
    Sahin, Recep
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2018, 26 (01): : 159 - 168
12345