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Lecture
Group Actions on Sets
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Related lectures (31)
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Two Definitions of Group Action
Explores two definitions of group action on a set, focusing on properties and applications.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Classification of Extensions
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Group Cohomology
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Cartesian Product in Linear Algebra
Explores the Cartesian product in linear algebra and the method of induction for proving propositions.
Chinese Remainder Theorem: Rings and Fields
Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.
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.
Commutation Groups: Euler's Totient Function
Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.
Group Actions: Theory and Examples
Explores concrete examples of group actions on sets, focusing on actions that do not change the set.
Cartesian Product
Covers the concept of the Cartesian product, emphasizing the order of elements in pairs.
