Concept information
Preferred term
cyclic group
Definition(s)
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In group theory, a branch of abstract algebra in pure mathematics, a cyclic group or monogenous group is a group, denoted Cn, that is generated by a single element. That is, it is a set of invertible elements with a single associative binary operation, and it contains an element g such that every other element of the group may be obtained by repeatedly applying the group operation to g or its inverse. Each element can be written as an integer power of g in multiplicative notation, or as an integer multiple of g in additive notation. This element g is called a generator of the group.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cyclic_group)
Broader concept(s)
Synonym(s)
- monogenous group
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-XL8TRFNH-C
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