List questions from cyclic-groups

Published on 12 Feb 2019 - 19:46

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Set of Rotations Cyclic?

Published on 25 Mar 2026 - 4:37

128

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Order of a cyclic subgroup in G

Published on 13 Feb 2019 - 11:31

765

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Is the Quotient Group Cyclic?

Published on 25 Mar 2026 - 16:13

312

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Visualized group tables for $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$

Published on 25 Mar 2026 - 10:53

4.4k

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Prove that a cyclic group with only one generator can have at most 2 elements

Published on 26 Mar 2026 - 17:52

1.1k

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Injective and surjective homomorphisms between non cyclic group of order $4 $ to $Z_8$

Published on 26 Mar 2026 - 14:34

56

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If $G = \mathbb{Z}_{p}^{*} $, show that $G$ is cyclic

Published on 26 Mar 2026 - 17:12

1.2k

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Prove that $S_3/C_3$ is a (quotient) group

Published on 25 Mar 2026 - 12:54

21

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Distribution of elements of a particular order in $(\mathbb{Z}/m\mathbb{Z})^*$

Published on 23 Feb 2026 - 3:01

32

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Describing the behaviour of subgroups of the direct product of finite cyclic groups based on the gcd of their orders

Published on 26 Mar 2026 - 2:56

243

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Elements and cyclic subgroups of order $15$ in $\Bbb Z_{30}\times \Bbb Z_{20}.$

Published on 01 Mar 2019 - 21:53

1.8k

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Degree of splitting field of $X^n-1$ over some finite field

Published on 25 Mar 2026 - 22:26

20

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Abstract Algebra cyclic groups digraph question

Published on 02 Mar 2019 - 20:27

991

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Find the subgroup of $\mathbb{Z}_{12}$ generated by the subset $\{4,6\}$. Also draw the digraph of this subgroup $\langle\{4,6\} \rangle$.

Published on 25 Mar 2026 - 19:06

List Question

Homomorphism between cyclic groups of orders 7 and 25

Set of Rotations Cyclic?

Order of a cyclic subgroup in G

Is the Quotient Group Cyclic?

Visualized group tables for $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$

Prove that a cyclic group with only one generator can have at most 2 elements

Injective and surjective homomorphisms between non cyclic group of order $4 $ to $Z_8$

If $G = \mathbb{Z}_{p}^{*} $, show that $G$ is cyclic

Prove that $S_3/C_3$ is a (quotient) group

Distribution of elements of a particular order in $(\mathbb{Z}/m\mathbb{Z})^*$

Describing the behaviour of subgroups of the direct product of finite cyclic groups based on the gcd of their orders

Elements and cyclic subgroups of order $15$ in $\Bbb Z_{30}\times \Bbb Z_{20}.$

Degree of splitting field of $X^n-1$ over some finite field

Abstract Algebra cyclic groups digraph question

Find the subgroup of $\mathbb{Z}_{12}$ generated by the subset $\{4,6\}$. Also draw the digraph of this subgroup $\langle\{4,6\} \rangle$.

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