Examples of groups

Related lectures (31)

Page 3 of 4

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

Explains the concept and calculations of orthogonal bases for subspaces in linear algebra.

Explores the uniqueness of push-outs in group quotients, focusing on specific cases and implications.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores subsets and subgroups related to group actions on sets.

Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Explores Gauss's Law applied to spheres, focusing on electric flux and field symmetry.

Covers the definition of the center of a function using finite differences and provides step-by-step proofs.

Explores direct products in group theory, including semi-direct products and group properties.