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October 15th, 2010, 02:20 PM   #1
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Group of units of Z/pZ is a cyclic group

Hello,

I want to proof, that for a prime number the group of units 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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