ON THE TORSION HOMOLOGY OF NON-ARITHMETIC HYPERBOLIC TETRAHEDRAL GROUPS

Author:

ŞENGÜN MEHMET HALUK1

Affiliation:

1. Departament d'Àlgebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, Barcelona 08007, Spain

Abstract

Numerical data concerning the growth of torsion in the first homology of congruence subgroups of non-arithmetic hyperbolic tetrahedral groups are collected. The data provide support the speculations of Bergeron and Venkatesh on the growth of torsion homology and the regulators for lattices in SL 2(ℂ).

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hyperbolic triangular prisms with one ideal vertex;Involve, a Journal of Mathematics;2020-07-14

2. Torsion homology growth for noncongruence subgroups of Bianchi groups;International Journal of Number Theory;2019-11-01

3. Torsion Invariants;Lecture Notes in Mathematics;2019

4. Gradients of Sequences of Subgroups in a Direct Product;International Mathematics Research Notices;2017-10-09

5. Torsion homology growth and cycle complexity of arithmetic manifolds;Duke Mathematical Journal;2016-06-15

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