The modular group is the group PSL(2, Z) of 2 by 2 integer matrices with determinant 1, under the convention that a matrix and its negative are identified with each other. It acts on the upper half of the complex plane through linear fractional transformations known as Mobius transformations. Despite its name, the modular group takes its name from its connection to moduli spaces rather than to modular arithmetic.
Facts
Classification
Object KindStructure or Algebraic Object 1 Connections
Attributed To
Source Wikipedia: Modular group
Source Wikipedia: Modular group
In Branch
Source Wikipedia: Modular group
Is Kind Of Object
Sources
1. Wikipedia: Modular group
Introduction section
In mathematics, the modular group is the projective special linear group PSL(2, Z) of 2 x 2 matrices with integer coefficients and determinant 1.
In Branch: Group Theory, Lead
the modular group is the projective special linear group
Attributed To: Felix Klein, History
The modular group and its subgroups were first studied in detail by Richard Dedekind and by Felix Klein as part of his Erlangen programme in the 1870s.
Attributed To: Richard Dedekind, Lead
The modular group and its subgroups were first studied in detail by Richard Dedekind and by Felix Klein as part of his Erlangen programme in the 1870s.
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.