A panaroma of the fundamental group of the modular orbifold

We give an overview of the category of subgroups of the modular group, incorporating both the tame part, i.e. finite index subgroups, and the non-tame part, i.e. the rest. We also discuss arithmetic related questions which exist in both the tame part (via Belyi's theorem) and the non-tame part.

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Uludağ, A Muhammed, Zeytin, Ayberk
Format: Article
Language:English
Subjects:
Subgroups
Online Access:Get full text
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Description
Summary:We give an overview of the category of subgroups of the modular group, incorporating both the tame part, i.e. finite index subgroups, and the non-tame part, i.e. the rest. We also discuss arithmetic related questions which exist in both the tame part (via Belyi's theorem) and the non-tame part.
ISSN:2331-8422