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Mathematics, 20.08.2021 01:10 ImHotRacerYT

Let U be the group of units in Z109 together with the usual multiplication mod 109. Show that U is an abelian group of order 108. (Hint: First note that 109 is a prime number. How many element in U satisfy a2 = 1?)

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Let U be the group of units in Z109 together with the usual multiplication mod 109. Show that U is a...
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