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Lecture
Direct Products in Group Theory
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Related lectures (31)
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Group Theory Basics
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Two Definitions of Group Action
Explores two definitions of group action on a set, focusing on properties and applications.
Group Homomorphisms
Explores group homomorphisms, Euler's phi function, and group products.
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
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.
Group Theory & Quantum Mechanics
Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.
Free Product: Group Theory
Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
Group Theory: Direct Sum of Abelian Groups
Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.
Algebra: Group Actions and Direct Products
Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.
Universal Property of Groups
Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.
