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manifolds and cobordisms
cobordism theory, Introduction
Definitions
Genera and invariants
Classification
Theorems
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
\tableofcontents
By the modular group one means alternatively
the projective special linear group $PSL(2,\mathbb{Z})$ of integral Moebius transformations
(cf. Serre 1973 §VII.1)
the special linear group $SL(2,\mathbb{Z})$, being the mapping class group of the torus
(cf. Stein 2007 Def. 1.1)
hence either the domain or codomain of the quotient map
Morris Newman: The Classical Modular Group and Related Groups, chapter VIII in: Integral Matrices, Academic Press (1972)
Jean-Pierre Serre, §VII.1: A Course in Arithmetic, Graduate Texts in Mathematics 7, Springer (1973) [[doi:10.1007/978-1-4684-9884-4](https://doi.org/10.1007/978-1-4684-9884-4), pdf]
William Stein, chapter 1 of: Modular Forms, a Computational Approach, Graduate Studies in Mathematics 79, AMS (2007) [[doi:10.1090/gsm/079](https://doi.org/10.1090/gsm/079)]
See also:
Last revised on March 13, 2025 at 18:26:20. See the history of this page for a list of all contributions to it.