Groups and Numbers: Mathematical Elements on Groups

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Lie Algebra: Group Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Elliptic Curves: Group Structure and Isomorphism

Explores the group structure and isomorphism of elliptic curves, including inverses, associativity, and compactification to the torus.

Set Union: Properties and Operations

Explains the union of sets, its properties, operations, and intersection.

Subsets and subgroups associated with an action

Explores subsets and subgroups related to group actions on sets.

Group Theory Basics

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

Understanding Equivalence Relations and Integer Construction

Covers the construction of integers through equivalence relations and their properties in mathematics.

Symmetries in Physics

Explores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.

Associative Operations: Fundamentals

Covers associative and commutative operations in parallel programming, using mathematical examples and discussing challenges in preserving associativity.

Torsion and Divisibility: Abelian Groups

Introduces torsion and divisibility concepts in abelian groups to describe their structure.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.