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

共 50 条

[11] FINITE INDEX SUBGROUPS AND VERBAL SUBGROUPS IN PROFINITE GROUPS
Wilson, John S.
ASTERISQUE, 2011, (339) : 387 - +
[12] On subgroups of finite index in branch groups
Garrido, Alejandra
Wilson, John S.
JOURNAL OF ALGEBRA, 2014, 397 : 32 - 38
[13] SUBGROUPS OF FINITE INDEX OF FUCHSIAN GROUPS
HOARE, AHM
KARRASS, A
SOLITAR, D
MATHEMATISCHE ZEITSCHRIFT, 1971, 120 (04) : 289 - &
[14] SUBGROUPS OF FORMAL GROUPS OF FINITE INDEX
OBERST, U
SCHNEIDER, HJ
JOURNAL OF ALGEBRA, 1974, 31 (01) : 10 - 44
[15] Finite index subgroups in profinite groups
Nikolov, N
Segal, D
COMPTES RENDUS MATHEMATIQUE, 2003, 337 (05) : 303 - 308
[16] SUBGROUPS OF FINITE INDEX IN PROFINITE GROUPS
HARTLEY, B
MATHEMATISCHE ZEITSCHRIFT, 1979, 168 (01) : 71 - 76
[17] SUBGROUPS OF FINITE INDEX IN NILPOTENT GROUPS
GRUNEWALD, FJ
SEGAL, D
SMITH, GC
INVENTIONES MATHEMATICAE, 1988, 93 (01) : 185 - 223
[18] Congruence subgroups of Hecke groups
Bo Chen
Ping Zhi Yuan
Acta Mathematica Sinica, English Series, 2009, 25 : 931 - 944
[19] Congruence Subgroups of Hecke Groups
Chen, Bo
Yuan, Ping Zhi
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (06) : 931 - 944
[20] Congruence Subgroups of Hecke Groups
Bo CHEN School of Science
Acta Mathematica Sinica(English Series), 2009, 25 (06) : 931 - 944

← 1 2 3 4 5 →