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In this video we will examine a permutation. We first look at array We present the symmetric group and a shorthand known as Video 3 of 10 presenting section 9 from A First Course in Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. CAUTION: This video simplifies permutations using the covariant (left-to-right) ordering, which may not be typical. Using Support the production of this course by joining Wrath of Math to access all my
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301.5D Cycle Notation for Permutations
Abstract Algebra. How to multiply permutations in cycle notation
Cycle Multiplication Example in the Symmetric Group S_7
Abstract Algebra: Orbits, Cycles, and the Alternating Groups - Orbits of a Permutation
Symmetric Groups (Abstract Algebra)
301.5E Simplifying a Product of Cycle Permutations (Covariant)
Introduction to Cycle Notation in the Symmetric Group
Permutation Groups and Symmetric Groups | Abstract Algebra
Permutations in Disjoint Cycle Notation & as Products of Two Cycles (Even & Odd Permutations)
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Last Updated: June 21, 2026
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