Cyclic group A periodic group is a group that can be formed by a single element (group generator). The periodic group is Abelian. A periodic group of finite group order expressed , , or ; Shanks 1993, p. 75), and its generator satisfiedRead: what is a cyclic group, in which is the identity element. Read more: What is pdg test Round of integers forms an infinite periodic group under addition and the integers 0, 1, 2,…, () form a cyclic group under the addition (mod ). In both cases, 0 is the identity element. There exists a unique cyclic group of every order
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A periodic group is a group that can be formed by a single element 
(group generator). The periodic group is Abelian. A periodic group of finite group order 
expressed 
, 
, 
or 
; Shanks 1993, p. 75), and its generator 
satisfiedRead: what is a cyclic group, in which 
is the identity element. Read more: What is pdg test Round of integers 
forms an infinite periodic group under addition and the integers 0, 1, 2,…, 
(
) form a cyclic group 
under the addition (mod 
). In both cases, 0 is the identity element. There exists a unique cyclic group of every order 
