Group Theory: Part 2

Related lectures (30)

Page 2 of 3

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

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.

Covers Euler's totient function, group theory, homomorphisms, and group isomorphisms.

Explores isomorphic groups, bijective morphisms, and their applications in group theory.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.