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
  • [31] On the finite index subgroups of Houghton’s groups
    Charles Garnet Cox
    Archiv der Mathematik, 2022, 118 : 113 - 121
  • [32] On the finite index subgroups of Houghton's groups
    Cox, Charles Garnet
    ARCHIV DER MATHEMATIK, 2022, 118 (02) : 113 - 121
  • [33] ON FINITE INDEX SUBGROUPS OF LINEAR-GROUPS
    LUBOTZKY, A
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1987, 19 : 325 - 328
  • [34] On subgroups of finite index in compact Hausdorff groups
    M. G. Smith
    J. S. Wilson
    Archiv der Mathematik, 2003, 80 : 123 - 129
  • [35] Finite index subgroups of conjugacy separable groups
    Chagas, Sheila C.
    Zalesskii, Pavel A.
    FORUM MATHEMATICUM, 2009, 21 (02) : 347 - 353
  • [36] On groups with uncountably many subgroups of finite index
    Silver, DS
    Williams, SG
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1999, 140 (01) : 75 - 86
  • [37] Commutator subgroups of the power subgroups of some Hecke groups
    Sahin, Recep
    Koruoglu, Ozden
    RAMANUJAN JOURNAL, 2011, 24 (02): : 151 - 159
  • [38] Commutator subgroups of the power subgroups of generalized Hecke groups
    Koruoglu, Ozden
    Meral, Taner
    Sahin, Recep
    ALGEBRA AND DISCRETE MATHEMATICS, 2019, 27 (02): : 280 - 291
  • [39] On Normal Subgroups of Generalized Hecke Groups
    Demir, Bilal
    Koruoglu, Ozden
    Sahin, Recep
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (02): : 169 - 184
  • [40] Normal Subgroups of Hecke Groups H(λ)
    Koruoglu, Oezden
    Sahin, Recep
    Ikikardes, Sebahattin
    Cangul, Ismail Naci
    ALGEBRAS AND REPRESENTATION THEORY, 2010, 13 (02) : 219 - 230
12345