Cycle Notation of Permutations Abstract Algebra











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Cycle Notation gives you a way to compactly write down a permutation. Since the symmetric group is so important in the study of groups, learning cycle notation will speed up your work with the group Sn. In this lesson we show you how to convert a permutation into cycle notation, talk about the conventions, and discuss the key properties of cycles. • Be sure to subscribe so you don't miss new lessons from Socratica: • http://bit.ly/1ixuu9W • ♦♦♦♦♦♦♦♦♦♦ • Ways to support our channel: • â–ş Join our Patreon :   / socratica   • â–ş Make a one-time PayPal donation: https://www.paypal.me/socratica • â–ş We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 • Thank you! • • ♦♦♦♦♦♦♦♦♦♦ • We recommend the following textbooks: • Dummit Foote, Abstract Algebra 3rd Edition • http://amzn.to/2oOBd5S • Milne, Algebra Course Notes (available free online) • http://www.jmilne.org/math/CourseNote... • ♦♦♦♦♦♦♦♦♦♦ • Connect with us! • Facebook:   / socraticastudios   • Instagram:   / socraticastudios   • Twitter:   / socratica   • ♦♦♦♦♦♦♦♦♦♦ • Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro • Written​ ​ ​ ​Directed​ ​by​ ​Michael​ ​Harrison • Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison • ♦♦♦♦♦♦♦♦♦♦

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