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Class Equation and Burnside's Lemma
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Related lectures (57)
Hom Functor: Abelian Groups
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Explores the Hom functor for abelian groups and its relation to direct sums.
Group Direct Sums in Group Theory
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Explores direct sums in group theory, focusing on abelian groups and their implications.
Universal Property of Groups
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Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.
Categorical Perspective: Group Quotients
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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
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Explores free abelian groups, homomorphisms, and exact sequences in group theory.
Direct Products in Group Theory
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Explores direct products in group theory, including semi-direct products and group properties.
Morphism of Groups
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Covers the concept of morphism of groups, actions on sets, and automorphisms.
Categorical Perspective: Abelian Groups
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Explores abelian groups from a categorical perspective, discussing the coproduct construction.
Group Theory Basics
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Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Untitled
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Homomorphisms and Isomorphisms
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Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.
Active Learning: Group Homomorphisms
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Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.
Functors and Homomorphisms in Group Theory
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Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.
Quotient Groups: Homomorphisms and Isomorphisms
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Explores quotient groups, homomorphisms, isomorphisms, and push-outs in different categories.
Group Theory: Quotients of Group
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Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.
Applications of Lagrange's Theorem
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Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.
Proof of Sylow Subgroup Properties
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Explores the properties of p-subgroups of Sylow in a group.
Motivations for studying group actions
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Covers group actions, bijections, evaluations, translations, homomorphisms, and inverses within universal actions.
Group Homomorphisms
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Explores group homomorphisms, isomorphisms, and generators in abstract algebra.
Group Theory: Active Learning Session
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Delves into group theory, emphasizing the centralizer of elements and the classification of finite abelian groups.
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