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October 15th, 2010, 01:20 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 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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