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elements in a conujgacy class of a

finite group all have the same order

cl(a) = {xax^-1|x in G} G is finite

G = {e,g1,g2,...,gm}

cl(g)={e,c1,c2,c3,...,cn} finite for n =< m

Then |e| | n , |c1| | n, |c2| | n, |cn| | n

Well C1 =xgix^1 for some gi.

any hint?

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# Homework Help: Conjugacy class

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