English
New Course
Concept
Reflection Group
Follow
0
Summary
A
Reflection Group
is a group generated by reflections, which are
Isometries of a Euclidean space
that fix a hyperplane pointwise. These groups play a crucial role in the
Study of symmetries
and are foundational in understanding the
Geometric structure of spaces
, particularly in the
Classification of finite groups
and the
Theory of Coxeter groups
.
Concepts
Reflection
Hyperplane
Isometry
Euclidean Space
Symmetry
Coxeter Group
Finite Group
Geometric Group Theory
Root System
Weyl Group
Coxeter Groups
Affine Coxeter Group
Spherical Coxeter Group
Coxeter Diagram
Coxeter Matrix
Coxeter-Dynkin Diagram
Tits Cone
Relevant Degrees
Algebra 70%
Geometry 30%
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