English
New Course
Concept
Fuchsian Groups
Follow
0
Summary
Fuchsian Groups
are
Discrete Subgroups
of PSL(2,R), the group of Möbius transformations acting on the
Hyperbolic Plane
, and are fundamental in the study of
Hyperbolic Geometry
and
Riemann Surfaces
. They provide a rich interplay between algebra, geometry, and topology, with applications in understanding the
Symmetries of tessellations
and the
Structure of modular forms
.
Concepts
Discrete Group
PSL(2,R)
Mobius Transformation
Hyperbolic Geometry
Riemann Surface
Tessellation
Modular Form
Algebraic Group
Kleinian Group
Fundamental Domain
Teichmüller Theory
Discrete Subgroups
Quasifuchsian Groups
Hyperbolic 3-manifolds
Teichmüller Space
Relevant Degrees
Topology 100%
Start Learning Journey
Generate Assignment Link
Lessons
Concepts
Suggested Topics
Foundational Courses
Activity
Your Lessons
Your lessons will appear here when you're logged in.
Log In
Sign up