I need help with the following problem: Let be a ring with elements. Prove that divides . Thanks in advance.
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Originally Posted by akolman I need help with the following problem: Let be a ring with elements. Prove that divides . Thanks in advance. is a group of order . let and where suppose that by Lagrange theorem for finite groups thus which contradicts the definition of "charateristic" because our assumption was that hence is impossible and so we must have i.e.
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