Can you help me to prove this,

Let G be a finite Group, and (a € G). Prove that if a has two conjugates in G, then Z(a) normal subgroup of G.

( Z(a) is the central of a )

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- April 5th 2010, 07:29 AMalper82conjugate, central element and Normal subgroup
Can you help me to prove this,

Let G be a finite Group, and (a € G). Prove that if a has two conjugates in G, then Z(a) normal subgroup of G.

( Z(a) is the central of a ) - April 5th 2010, 09:40 AMSwlabr