Answer to Question #23729 in Abstract Algebra for john.george.milnor

Question #23729

Let G = [x] be a cyclic group of order 5. Show that a = 2x4 − x3 − 3x2 − x + 2is a unit of infinite order in ZG, with inverse b = 2x4 − 3x3 +2x2 − x − 1.

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