List questions from cyclic-groups

Published on 19 Oct 2015 - 11:05

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Proof that the following multiplicative groups modulo m are cyclic

Published on 19 Oct 2015 - 22:27

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Determine the exact number of subgroups of $\mathbb{Z}_{924}$ with addition

Published on 23 Feb 2026 - 12:31

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Prove that subgroup of cyclic group is generated by the following:

Published on 15 Mar 2026 - 3:42

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Solutions to the equation $x^2=1$ in a cyclic group

Published on 20 Oct 2015 - 20:43

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Clarification to: A finite group that has at most one subgroup of any size is cyclic

Published on 20 Oct 2015 - 21:33

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Is there a slick way to test whether $\Bbb Z_{mn}\cong \Bbb Z_m\oplus \Bbb Z_n$?

Published on 21 Oct 2015 - 12:07

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Multiplicative group of a permutation matrix

Published on 01 Apr 2026 - 19:25

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Show that $(\mathbb{Q}, +)$ and $(\mathbb{R}, +)$ are not cyclic groups.

Published on 21 Oct 2015 - 22:27

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Every subgroup of the integers has finite index

Published on 28 Mar 2026 - 17:13

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If $\gcd(b,n)\mid\gcd(a,n)$ then $\langle x^a\rangle\le \langle x^b\rangle$

Published on 24 Oct 2015 - 8:34

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Does this semigroup have an identity element?

Published on 22 Mar 2026 - 17:03

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Nature of $G$ when $N$ is cyclic, normal subgroup of $G$ and $G/N$ is cyclic

Published on 25 Oct 2015 - 20:22

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Question about properties of Permutations and Alternating Groups of Degree $n$.

Published on 27 Oct 2015 - 2:36

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Cyclic Groups and Direct Product

Published on 28 Oct 2015 - 2:55

List Question

Subgroups of $G=(\mathbb{Z}_{12},+)$

Proof that the following multiplicative groups modulo m are cyclic

Determine the exact number of subgroups of $\mathbb{Z}_{924}$ with addition

Prove that subgroup of cyclic group is generated by the following:

Solutions to the equation $x^2=1$ in a cyclic group

Clarification to: A finite group that has at most one subgroup of any size is cyclic

Is there a slick way to test whether $\Bbb Z_{mn}\cong \Bbb Z_m\oplus \Bbb Z_n$?

Multiplicative group of a permutation matrix

Show that $(\mathbb{Q}, +)$ and $(\mathbb{R}, +)$ are not cyclic groups.

Every subgroup of the integers has finite index

If $\gcd(b,n)\mid\gcd(a,n)$ then $\langle x^a\rangle\le \langle x^b\rangle$

Does this semigroup have an identity element?

Nature of $G$ when $N$ is cyclic, normal subgroup of $G$ and $G/N$ is cyclic

Question about properties of Permutations and Alternating Groups of Degree $n$.

Cyclic Groups and Direct Product

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