Mathematics, 26.02.2020 05:54 ninigilford

Let C be the conjugacy class of an even permutation p in Sn. Show that C is either a conjugacy class in An, or else the union of two conjugacy classes in An of equal size. Explain how to decide which case occurs in terms of the centralizer of p.

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Let C be the conjugacy class of an even permutation p in Sn. Show that C is either a conjugacy class...