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Related lectures (31)

Page 3 of 4

Push-out and Quotients

Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.

Chinese Remainder Theorem: Rings and Fields

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Group Fundamental: Structure and Applications

Explores the group fundamental structure and homomorphisms through examples and applications.

Categorical Perspective: Group Quotients

Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.

Abelian Groups: Free Abelian Groups

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

First Isomorphism Theorem

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

Linear Representations: Basics and Examples

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Group Homomorphisms

Explores group homomorphisms, Euler's phi function, and group products.

Group Theory: Special Cases

Covers special cases in group theory, focusing on group actions and functors.

Two Definitions of Group Action

Explores two definitions of group action on a set, focusing on properties and applications.