Mathematics, 28.11.2019 01:31 pinapunapula

This exercise determines when two elements of sn are conjugate.

(a) show that for any k cycle (a1, ..ak) e sn, and for any permutation π n, we have hint: as always, first look at some examples for small n and k. both sides are permutations (i. e., bijective maps defined on 11, , show that they are the same maps by showing that they do the same thing.

(b) show that for any two k cycles, (ai. ak) and (bi, b2. . , bk) in sn there is a permutation π e s, such that

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This exercise determines when two elements of sn are conjugate.

(a) show that for any k...