Cyclic group: Difference between revisions
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In [[group theory]], a '''cyclic group''' is a [[group]] with a single generator. The elements of the group are then just the powers of this generating element. Every cyclic group is thus [[group isomorphism|isomorphic]] to the [[additive group]] of the [[integer]]s, or to an additive group with respect to a fixed [[modular arithmetic|modulus]]. | In [[group theory]], a '''cyclic group''' is a [[group]] with a single generator. The elements of the group are then just the powers of this generating element. Every cyclic group is thus [[group isomorphism|isomorphic]] to the [[additive group]] of the [[integer]]s, or to an additive group with respect to a fixed [[modular arithmetic|modulus]].[[Category:Suggestion Bot Tag]] | ||
Latest revision as of 17:00, 3 August 2024
In group theory, a cyclic group is a group with a single generator. The elements of the group are then just the powers of this generating element. Every cyclic group is thus isomorphic to the additive group of the integers, or to an additive group with respect to a fixed modulus.