Group theory 22: Symmetric groups

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This lecture is part of an online mathematics course on group theory. It covers the basic theory of symmetric and alternating groups, in particular their conjugacy classes.
  1. Richard E Borcherds
  2. Symmetric group
  3. alternating group
  4. group theory
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Комментарии
Автор

Use bubble sort to prove every permutation is a product of transpositions is very wonderful.

鱼升几何
Автор

Very late to this, but mostly for my own edification: am I right in thinking that the individual factors of the direct product in a conjugacy class (as seen at about 16:15 in the video) correspond to wreath products, where the permutations that has e.g. 3 four-cycles in their decompositions will have a factor of S_3 wr S_4 in their conjugacy class?

sstadnicki
Автор

One does not expect the bubble sort to appear in a math lecture.

dr-evil