Symmetric and Alternating Groups -- Part 1

Описание к видео Symmetric and Alternating Groups -- Part 1

In this video, we show how to express elements of the symmetric group S_n as products of 2-cycles (i.e., transpositions), and this allows us to define even permutations and odd permutations. From this, we are able to describe an important subgroup of S_n consisting of the even permutations: the alternating group A_n.

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