Group Theory - Part 2

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Related lectures (30)

Page 3 of 3

Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.

Abelian Groups: Category Theory

Explores the concept of abelian groups and their group homomorphisms.

Applications of Lagrange's Theorem

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Groups and Homomorphisms

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

Active Learning: Homomorphisms and Exact Sequences

Explores active learning through homomorphisms, exact sequences, and comparisons of presentations in Abelian groups.

Recap of Group Theory

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Lie Groups: Structure and Translations

Explores Lie groups, translations, and invariance of states under transformations.

Homomorphism of Groups: Signature

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Free Abelian Groups and Homomorphisms

Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.

Classification of Extensions

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.