Arithmetic Aspects of Bianchi Groups
Number Theory
2013-06-05 v4 Group Theory
History and Overview
K-Theory and Homology
Abstract
We discuss several arithmetic aspects of Bianchi groups, especially from a computational point of view. In particular, we consider computing the homology of Bianchi groups together with the Hecke action, connections with automorphic forms, abelian varieties, Galois representations and the torsion in the homology of Bianchi groups. Along the way, we list several open problems and conjectures, survey the related literature, presenting concrete examples and numerical data.
Cite
@article{arxiv.1204.6697,
title = {Arithmetic Aspects of Bianchi Groups},
author = {Mehmet Haluk Sengun},
journal= {arXiv preprint arXiv:1204.6697},
year = {2013}
}
Comments
35 pages, 171 references, 3 tables, 2 figures