Wohlfahrt's Theorem for the Hecke group G5

被引：1

作者：

Lang, Cheng Lien ^{[1
]}

Lang, Mong Lung ^{[1
]}

机构：

[1] I Shou Univ, Dept Math, Kaohsiung, Taiwan

来源：

JOURNAL OF ALGEBRA | 2015年 / 422卷

关键词：

Hecke groups; Congruence subgroups; Wohlfahrt's Theorem; MODULAR GROUP; CONGRUENCE; SUBGROUPS;

D O I：

10.1016/j.jalgebra.2014.08.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a subgroup of the inhomogeneous Hecke group G(5) of geometric level r. Then K is congruence if and only if K contains the principal congruence subgroup G(2r). In the case r not equivalent to 0 (mod 4), K is congruence if and only if K contains the principal congruence subgroup G(r). (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：341 / 356

页数：16

共 50 条

[1] Normalizers of the congruence subgroups of the Hecke group G5
Lang, ML
Tan, SP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (11) : 3131 - 3140
[2] The structure of the normalisers of the congruence subgroups of the Hecke group G5
Lang, Mong Lung
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2007, 39 : 53 - 62
[3] Normalizers of the congruence subgroups of the Hecke group G5 II
Lang, ML
Tan, SP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) : 2271 - 2280
[4] The Coxeter group G5,5,24
Mushtaq, Q
Ashiq, M
Maqsood, T
Aslam, M
COMMUNICATIONS IN ALGEBRA, 2002, 30 (05) : 2175 - 2182
[5] THE MARKOV SPECTRUM IN THE HECKE GROUP-G5
SERIES, C
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1988, 57 : 151 - 181
[6] 金河田G5
电脑迷, 2008, (19) : 27 - 27
[7] 比亚迪G5
卫东
汽车与运动, 2014, (12) : 38 - 41
[8] 奥轩GX5 源于G5胜于G5
蔺天子
中国汽车市场, 2012, (13) : 7 - 7
[9] iMac G5
李寒
吴敌
个人电脑, 2004, (12) : 210 - 211
[10] IBM's S/390 G5 microprocessor design
Slegel, Timothy J.
Averill III, Robert M.
Check, Mark A.
Giamei, Bruce C.
Krumm, Barry W.
Krygowski, Christopher A.
Li, Wen H.
Liptay, John S.
MacDougall, John D.
McPherson, Thomas J.
Navarro, Jennifer A.
Schwarz, Eric M.
Shum, Kevin
Webb, Charles F.
IEEE Micro, 19 (02): : 12 - 23

← 1 2 3 4 5 →