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 )

Printable View

- Apr 5th 2010, 06:29 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 ) - Apr 5th 2010, 08:40 AMSwlabr