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Related lectures (32)
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Push-out and Quotients
Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Group Actions: Theory and Examples
Explores concrete examples of group actions on sets, focusing on actions that do not change the set.
Two Definitions of Group Action
Explores two definitions of group action on a set, focusing on properties and applications.
Amalgams: Group Pushouts
Covers the concept of amalgams, defining pushouts and quotient groups in group theory.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Group Direct Sums in Group Theory
Explores direct sums in group theory, focusing on abelian groups and their implications.
Hom Functor: Abelian Groups
Explores the Hom functor for abelian groups and its relation to direct sums.
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
Exact Sequences: Split Exact Sequences 2
Explores split exact sequences and constructing homomorphisms between modules.
Topology: Lecture Notes 2021
Covers polygonal performance, homomorphisms, and the Klein bottle in topology.
Functors: Definition
Introduces functors in category theory and explains their composition.
Partial Differential Equations: Characteristics and Solutions
Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.
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