Prove that every even permutation is a product of one or more cycles of length 3....

 

Transcribed Image Text:

Prove that every even permutation is a product of one or more cycles of length 3. [HINT: (13)(12) = (123); (12)(34) = (321)(134).] Conclude that the set U of all cycles of length 3 generates An. Prove that every even permutation is a product of one or more cycles of length 3. [HINT: (13)(12) = (123); (12)(34) = (321)(134).] Conclude that the set U of all cycles of length 3 generates An.

Answer rating: 100% (QA)

Any even permutation can be expressed as product of even nu... View the full answer