Spectral Analysis of the Adjacency Matrices for Alternating Quotients of Hyperbolic Triangle Group ▵*(3,q,r) for q < r Primes

Autor: Sajida Younas, Sajida Kousar, Majed Albaity, Tahir Mahmood

Publikováno v: Axioms, Vol 12, Iss 12, p 1128 (2023)

Hyperbolic triangle groups are found within the category of finitely generated groups. These are topological groups formed by the reflections along the sides of a hyperbolic triangle and acting properly discontinuously on the hyperbolic plane. Higman

Externí odkaz: https://doaj.org/article/15500487759b4ff0a8f83ea40461b95a

Equality of internal angles and vertex points in conformal hyperbolic triangles

Autor: Ümit Tokeşer, Ömer Alsan

Publikováno v: Cumhuriyet Science Journal, Vol 41, Iss 3, Pp 642-650 (2020)
Volume: 41, Issue: 3 642-650
Cumhuriyet Science Journal

In this article, by using the conformal structure in Euclidean space, the conformal structures in hyperbolic space and the equality of the internal angles and vertex points of conformal triangles in hyperbolic space are given. Especially in these spe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::053e7d6edb81819ea02ff1c97e8804d3
https://doi.org/10.17776/csj.719117

Shapes of hyperbolic triangles and once-punctured torus groups

Autor: Ser Peow Tan, Ken'ichi Ohshika, Xinghua Gao, Sang-hyun Kim, Thomas Koberda, Jaejeong Lee

Publikováno v: Mathematische Zeitschrift. 299:2103-2130

Let $\Delta$ be a hyperbolic triangle with a fixed area $\varphi$. We prove that for all but countably many $\varphi$, generic choices of $\Delta$ have the property that the group generated by the $\pi$--rotations about the midpoints of the sides of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfd09e20a43ca8d61e80bdaec0efa4b0
https://doi.org/10.1007/s00209-021-02745-3

Complex hyperbolic triangle groups of type (n, n, ∞; k)

Publikováno v: Josai Mathematical Monographs. 13:93-107

A complex hyperbolic triangle group is a group generated by three complex reflections fixing complex geodesics in complex hyperbolic space. We give a list of non-discrete groups of type (n, n, ∞; k). In particular we show that if n ≥ 14, then c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::cb45a790b0956afafd903c15633a3e0f
https://libir.josai.ac.jp/il/meta_pub/G0000284repository_JOS-13447777-1307

New Nonarithmetic Complex Hyperbolic Lattices II

Autor: Julien Paupert, John R. Parker, Martin Deraux

Publikováno v: Michigan Mathematical Journal
Michigan Mathematical Journal, University of Michigan, 2021, 70 (1), ⟨10.1307/mmj/1592532044⟩
Michigan mathematical journal, 2021, Vol.70(1), pp.133-205 [Peer Reviewed Journal]

We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups. This allows us to produce new nonarithmetic lattices, bringing the number of known nonarithmetic commensurability classes in PU(2,1) to 22.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b4c45d5aaa09738d4e1b90a1a36a204
https://doi.org/10.1307/mmj/1592532044