Cyclic group

Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element. That is, it consists of a set of elements with a single invertible associative operation, and it contains an element g such that every other element of the group may be obtained by repeatedly applying the group operation or its inverse to g. Each element can be written as a power of g in multiplicative notation, or as a multiple of g in additive notation. This element g is called a generator of the group.
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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element. That is, it consists of a set of elements with a single invertible associative operation, and it contains an element g such that every other element of the group may be obtained by repeatedly applying the group operation or its inverse to g. Each element can be written as a power of g in multiplicative notation, or as a multiple of g in additive notation. This element g is called a generator of the group.
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25بك المحتوى هنا ينقصه الاستشه ...... ب أن تكون من مضاعفات العنصر a.
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En mathématiques et plus préci ...... neaux et en théorie de Galois.
@fr
En teoría de grupos, un grupo ...... no son tan populares como Zn.
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Grupa cykliczna – grupa genero ...... ożeniem) jest grupą cykliczną.
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In algebra, a cyclic group or ...... rect product of cyclic groups.
@en
In de groepentheorie, een deel ...... itief is, een veelvoud van g).
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In der Gruppentheorie ist eine ...... einer dieser Gruppen isomorph.
@de
In matematica, più precisament ...... no completamente classificati.
@it
Um grupo diz-se cíclico se for gerado por um único elemento.
@pt
Циклическая группа — группа , ...... группе целых чисел по сложению
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25بك المحتوى هنا ينقصه الاستشه ...... ب أن تكون من مضاعفات العنصر a.
@ar
En mathématiques et plus préci ...... ous-groupe des multiples de n.
@fr
En teoría de grupos, un grupo ...... presar como na, para n entero.
@es
Grupa cykliczna – grupa genero ...... ej samej strukturze) rzędu dla
@pl
In algebra, a cyclic group or ...... lled a generator of the group.
@en
In de groepentheorie, een deel ...... itief is, een veelvoud van g).
@nl
In der Gruppentheorie ist eine ...... jede natürliche Zahl mit genau
@de
In matematica, più precisament ...... no completamente classificati.
@it
Um grupo diz-se cíclico se for gerado por um único elemento.
@pt
Циклическая группа — группа , ...... группе целых чисел по сложению
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Cyclic group
@en
Cyclische groep
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Groupe cyclique
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Grupa cykliczna
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Grupo cíclico
@es
Grupo cíclico
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Gruppo ciclico
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Zyklische Gruppe
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Циклическая группа
@ru
زمرة دائرية
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