Lecture
Group Theory Fundamentals
Related lectures (46)
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Isomorphism Theorems: Third Isomorphism Theorem
Explores the third isomorphism theorem in group theory, focusing on quotient groups and a categorical perspective.
Group Homomorphisms: Kernels, Images, and Normal Subgroups
Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.
Groups: Definitions, Properties, and Homomorphisms
Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.
Normal Subgroups and Quotients
Introduces normal subgroups, group quotients, and their applications in group theory.
Active Learning: Group Homomorphisms
Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.
Push-out and Quotients
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Group Actions: Examples and Applications
Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.
Group Theory: Introduction
Covers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
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.