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Abstract Algebra - 5.3 Properties of Permutations
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Let's take a look at the many properties of permutations including how to find the order and write a permutation as the product of transpositions.
Video Chapters:
Intro 0:00
Product of Disjoint Cycles 0:21
Disjoint Cycles Commute 1:50
The Order of a Permutation is the LCM of Disjoint Cycle Length 4:08
Permutations as a Product of Transpositions (Even/Odd) 11:56
The Even Permutations as a Subgroup (Alternating Group) 13:58
Up Next 15:54
This playlist follows Gallian text, Contemporary Abstract Algebra, 9e.
Video Chapters:
Intro 0:00
Product of Disjoint Cycles 0:21
Disjoint Cycles Commute 1:50
The Order of a Permutation is the LCM of Disjoint Cycle Length 4:08
Permutations as a Product of Transpositions (Even/Odd) 11:56
The Even Permutations as a Subgroup (Alternating Group) 13:58
Up Next 15:54
This playlist follows Gallian text, Contemporary Abstract Algebra, 9e.
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Cyclic Groups, Generators, and Cyclic Subgroups | Abstract Algebra
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(Abstract Algebra 1) Definition of a Cyclic Group
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Abstract Algebra | The Alternating Group
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Abstract Algebra 5.4: Properties of Permutations
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(Abstract Algebra 1) Units Modulo n
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(Abstract Algebra 1) Groups of Permutations
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Abstract Algebra - 5.2 Permutation Groups
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Group and Abelian Group
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Abstract Algebra - 7.1 Cosets and Their Properties
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Abstract Algebra - 4.2 Cyclic Groups and Their Properties a^k=a^gcd(n,k)
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Abstract Algebra - 2.3 Elementary Properties of a Group
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