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Just quickly, what is a generator in a group? 
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#1
Oct807, 01:29 AM

P: 184

Just quickly, what is a generator in a group?
I have a question: "Give an example of an element in (Z_28,⊕) which is not a generator." Cheers, 


#2
Oct807, 03:33 AM

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P: 9,396

g generates G if G= <g^r : r in Z>, i.e. it is the cyclic group generated by g.



#3
Oct807, 06:52 AM

Math
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Thanks
PF Gold
P: 39,497

As far as "Give an example of an element in (Z_28,⊕) which is not a generator." is concerned, an obvious element that is never a generator is the group identity. If you want a less trivial example try any element that is a factor of 28.



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