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Lecture
Group Theory Basics
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Related lectures (50)
Group Theory: Basics
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
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Provides a recap of group theory, defining a group as a set with a multiplication operation.
Group Theory Basics
Introduces the basics of group theory, including operations, properties, and Lie groups.
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Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory: Basics
Covers the basics of group theory, including definitions, examples, and isometries.
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Real Numbers: Sets and Operations
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Group Theory Basics
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Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Group Theory: Definition and Examples
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Covers the definition of a group, properties of symmetries, and group operations.
Groupes résolubles
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Explores solvable groups, group actions, normalizers, and stabilizers in group theory.
Symmetric Group and Cycle Decomposition
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Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.
Symmetric Group and Group Actions
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Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.
Active Learning: Group Structures and Symmetric Actions
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Explores active learning implications in understanding group structures and symmetric actions.
Group Theory: Direct Sum of Abelian Groups
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Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.
Symmetric Group and Alternating Group
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Explores the Symmetric group, cycle notation, multiplication, the sign of a permutation, and the Alternating group.
Permutations and Symmetric Groups
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Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.
Group Theory: Definitions and Properties
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Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.
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