Symmetric and Alternating Groups - Part 2
In this video, we explore the alternating group A_n in more detail, including a proof that it is half the size of the symmetric group S_n. We also make some general observations about performing conjugation of elements in S_n that will be useful to our study of the theory of conjugacy classes in group theory.
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Symmetric and Alternating Groups -- Part 1
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First Isomorphism Theorem for Groups - Applications
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The Langlands Program - Numberphile
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LIVE: Conan O’Brien speaks at Harvard graduation ceremony (full)
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William Dunham, A tribute to Euler
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“I Hate Harvard” – how Robert Metcalfe failed his Ph.D. defense
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Saunders Mac Lane: "Mysteries and Marvels of Mathematics"
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You're Doing Push-Ups Wrong... This Is Why You're Not Getting Stronger
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Group theory, abstraction, and the 196,883-dimensional monster
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The Strangest Things that Correlate with IQ
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Why Normal Subgroups are Necessary for Quotient Groups
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How to Answer ANY Question (Even If You Don't Know The Answer!)
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Cycle Notation of Permutations - Abstract Algebra
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The Greatest Unsolved Problem In Mathematics
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The Strange Math That Predicts (Almost) Anything
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Symmetric Groups (Abstract Algebra)
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Ramanujan's favorite coincidence (it's not a coincidence)
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The Meaning of Ramanujan and His Lost Notebook
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