Group Theory Basics

Related lectures (27)

Page 1 of 3

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers commutative groups and their significance in cryptography.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Covers the definition of a group, properties of symmetries, and group operations.

Introduces the basics of group theory, including operations, properties, and Lie groups.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.