Isolated circular orders of PSL (2, Z)

被引:1
|
作者
Matsumoto, Shigenori [1 ]
机构
[1] Nihon Univ, Coll Sci & Technol, Dept Math, Chiyoda Ku, 1-8-14 Kanda Surugadai, Tokyo 1018308, Japan
关键词
Circular orders; dynamical realization; isolated circular orders;
D O I
10.4171/GGD/635
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a bijection between the isolated circular orders of the group G = PSL (2, Z) approximate to (Z/2Z)(*)(Z/3Z) and the equivalence classes of Markov systems associated to G. As applications, we present examples of isolated circular orders of the group G.
引用
收藏
页码:1421 / 1448
页数:28
相关论文
共 50 条
  • [21] A CLASS OF ARITHMETIC FUNCTIONS ON PSL2(Z)
    Spiegelhalter, Paul
    Zaharescu, Alexandru
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) : 601 - 610
  • [22] ON ESSENTIALLY CUSPIDAL NONCONGRUENCE SUBGROUPS OF PSL (2,Z)
    VENKOV, AB
    JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 92 (01) : 1 - 7
  • [23] On the distribution of the eigenvalues of the hyperbolic Laplacian for PSL(2, Z)
    Mozzochi, CJ
    MATHEMATISCHE ZEITSCHRIFT, 2000, 234 (02) : 241 - 254
  • [24] Alternating groups as a quotient of PSL (2, Z[i])
    Mushtaq, Qaiser
    Yousaf, Awais
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2018, 128 (01):
  • [25] Number of Distinct Fragments in Coset Diagrams for PSL (2,Z)
    Aamir, Muhammad
    Yousaf, Awais
    Masmali, Ibtisam
    Razaq, Abdul
    JOURNAL OF MATHEMATICS, 2023, 2023
  • [26] The Dehn function of PSL2(Z[1/p])
    Taback, J
    GEOMETRIAE DEDICATA, 2003, 102 (01) : 179 - 195
  • [27] On computing finite index subgroups of PSL2(Z)
    Uruburu, Nicolas Mayorga
    Pacetti, Ariel
    Vendramin, Leandro
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [28] On contraction of vertices of the circuits in coset diagrams for PSL(2,Z)
    Mushtaq, Qaiser
    Razaq, Abdul
    Yousaf, Awais
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (01):
  • [29] The Number of Subgroups of PSL(2, Z) When Acting on Fp{}
    Anis, S.
    Mushtaq, Q.
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (11) : 4276 - 4283
  • [30] A CLASS OF ARITHMETIC FUNCTIONS ON PSL2(Z), II
    Spiegelhalter, Paul
    Zaharescu, Alexandru
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (02) : 443 - 455