Visual Group Theory, Lecture 3.4: Direct products
Visual Group Theory, Lecture 3.4: Direct products There is a natural way to put a group structure on the Cartesian product of two groups. In this lecture, we introduce this concept algebraically, and show several different ways to visualize this, using tools such as Cayley diagrams and multiplication tables. We also look at subgroups and normal subgroups of direct products, and establish a few basic properties. Course webpage (with lecture notes, HW, etc.): http://www.math.clemson.edu/~macaule/...
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Visual Group Theory, Lecture 3.5: Quotient groups
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Visual Group Theory, Lecture 6.4: Galois groups
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Visual Group Theory, Lecture 4.5: The isomorphism theorems
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External and Internal Direct Products -- Abstract Algebra 13
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Inner & Outer Semidirect Products Derivation - Group Theory
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Visual Group Theory, Lecture 2.1: Cyclic and abelian groups
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Visual Group Theory, Lecture 5.6: The Sylow theorems
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Group Theory: Lecture 4/30 - Cyclic Groups and Dihedral Groups
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What is a semi-direct product? - Semi-direct products - Part 1
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Visual Group Theory, Lecture 4.3: The fundamental homomorphism theorem
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Galois Theory Explained Simply
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Algebraic Topology 0: Cell Complexes
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Cycle Notation of Permutations - Abstract Algebra
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Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms
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What is Group Theory? — Group Theory Ep. 1
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If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?
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Visual Group Theory, Lecture 6.6: The fundamental theorem of Galois theory
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Group theory 14: Sylow theorems
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