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## Homework Statement

Show that every element in A(n)= set of even permutations, for n> or equal to 3 can be expressed as a 3-cycle or a product of three cycles.

## Homework Equations

3-cycle = (_ _ _). a permutation is a function from a set A to A that is bijective.

## The Attempt at a Solution

for n=3 a permuation can be (1 2 3), (1 3 2), (2 1 3), (3 1 2) etc... need help for n>3