On suborbital graphs for some Hecke groups

被引：11

作者：

Keskin, R ^{[1
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey

来源：

DISCRETE MATHEMATICS | 2001年 / 234卷 / 1-3期

关键词：

Hecke group; suborbital graph; circuit;

D O I：

10.1016/S0012-365X(00)00191-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we examine some properties of suborbital graphs for the Hecke groups T, H(root2), and H(root3) on (Q) over cap, root2 (Q) over cap, and root3 (Q) over cap, respectively. In addition, we give necessary and sufficient conditions for the suborbital graph G(infinity,(u/n)rootm) to be a forest. Finally, we completely find the number of sides of all the circuits in the suborbital graphs. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：53 / 64

页数：12

共 33 条

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Bulletin of the Iranian Mathematical Society, 2021, 47 (1) : 157 - 169
[32] Commutator Subgroups of the Extended Hecke Groups \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\bar H(\lambda _q )$$ \end{document}
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Czechoslovak Mathematical Journal, 2004, 54 (1) : 253 - 259
[33] Principal Congruence Subgroups of Hecke Groups \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ H{\left( {{\sqrt q }} \right)} $$\end{document}
Nihal Yilmaz Özgür
Acta Mathematica Sinica, 2006, 22 (2) : 383 - 392

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