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Este Cmap, tiene información relacionada con: Public parameters Math, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> If there exists an element α∈ G
 with order equal to |G| then the 
group is cyclic. 
The element α generates the 
group and that α is a generator 
or primitive element of the group. </mtext> </math> ???? In cryptography based on discrete logarithms in Zp* it is important to use a generator g that does not generate a small subgroup., Mathematical resources of public parameters chosen by Alice and Bob agree on a finite cyclic group G, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> Cyclic groups 

A cyclic group is a group that is 
generated by a single element. 
That means that there exists 
an element α, such that every 
other element of the group 
can be written as a power of α. 

This element α is the generator
 of the group.

All cyclic groups are Abelian but
 not all Abelian groups are cyclic. 
All subgroups of a cyclic group 
are also cyclic. </mtext> </mrow> </math> example The group Zp* is always cyclic, even though its order p − 1 is not a prime (for p > 3)., a finite cyclic group G over <math xmlns="http://www.w3.org/1998/Math/MathML"> <mtext> a finite field
Fp </mtext> </math>