My Math Forum Group of units of Z/pZ is a cyclic group

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 October 15th, 2010, 02:20 PM #1 Newbie   Joined: Jun 2010 Posts: 11 Thanks: 0 Group of units of Z/pZ is a cyclic group Hello, I want to proof, that for a prime number $p$ the group of units $(\mathbb Z/p\mathbb Z)^\times$ is a cyclic group. But I don't want to use the fact, that every finite subgroup of the multiplicative group of any field is cyclic. Is there a short proof? Thanks in advance, sunflower

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# proof that u(z /pz) is cyclic

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