Lectures related to Group Theory: Basics

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores division in rational numbers and the extension of addition from integers.

Explores division and multiplication in rational numbers, emphasizing the concept of multiplying by the inverse.

Covers commutative groups and their significance in cryptography.

Covers addition properties and operations in the set of integers Z.

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

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the concept of natural numbers, including properties like commutativity and associativity.

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.