Group Fundamental: Structure and Applications

Related lectures (31)

Page 3 of 4

Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.

Explores the categorical framework for group actions, focusing on the concept of G-objects in different categories.

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Explores ring homomorphisms, bilateral ideals, ring features, and ideal operations.

Covers the main concepts behind RSA encryption and examples of homomorphisms between cyclic groups.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers the first isomorphism theorem in group theory and its applications.

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.