List questions from cyclic-groups

Published on 11 Jul 2018 - 17:28

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Subgroups of $\mathbb{Z}/{4\mathbb{Z}} \times \mathbb{Z}/{2\mathbb{Z}}$

Published on 25 Mar 2026 - 17:26

51

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What does n times a generator of a cyclic group mean?

Published on 25 Mar 2026 - 16:01

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The kernel of $ C_m\to C_m,\ x\to x^r$

Published on 25 Mar 2026 - 19:05

281

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Is the statement that $ \operatorname{Aut}( \operatorname{Hol}(Z_n)) \cong \operatorname{Hol}(Z_n)$ true for every odd $n$?

Published on 25 Mar 2026 - 1:21

499

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Finite $p$-group with cyclic abelianization is abelian

Published on 25 Mar 2026 - 18:46

899

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How many group homomorphisms we can get from ${\mathbb Z}_{20}$ to ${\mathbb Z}_{10}$?

Published on 29 Jul 2018 - 7:45

210

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Let $G=\Bbb Z_{30} \times \mathbb Z_{36}$.

Published on 29 Jul 2018 - 12:27

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Conditions for cyclic quotient group

Published on 25 Mar 2026 - 9:35

52

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Compute the order $\mathbb{Z}^*_{13}\times\mathbb{Z}^+_{13}$

Published on 04 Aug 2018 - 13:37

667

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Why or why not use an irreducible polynomial for a cyclic redundancy check?

Published on 25 Mar 2026 - 19:03

106

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Understanding a Proof for Cyclic Groups

Published on 06 Aug 2018 - 22:37

304

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Intersection of two subgroups

Published on 07 Aug 2018 - 17:40

966

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A finite group of even order, whose $2$-Sylow subgroups are cyclic, is not simple.

Published on 25 Mar 2026 - 0:07

101

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Understanding a Cyclic Group Proof

Published on 12 Aug 2018 - 23:15

List Question

Question on Cyclic Subgroups

Subgroups of $\mathbb{Z}/{4\mathbb{Z}} \times \mathbb{Z}/{2\mathbb{Z}}$

What does n times a generator of a cyclic group mean?

The kernel of $ C_m\to C_m,\ x\to x^r$

Is the statement that $ \operatorname{Aut}( \operatorname{Hol}(Z_n)) \cong \operatorname{Hol}(Z_n)$ true for every odd $n$?

Finite $p$-group with cyclic abelianization is abelian

How many group homomorphisms we can get from ${\mathbb Z}_{20}$ to ${\mathbb Z}_{10}$?

Let $G=\Bbb Z_{30} \times \mathbb Z_{36}$.

Conditions for cyclic quotient group

Compute the order $\mathbb{Z}^*_{13}\times\mathbb{Z}^+_{13}$

Why or why not use an irreducible polynomial for a cyclic redundancy check?

Understanding a Proof for Cyclic Groups

Intersection of two subgroups

A finite group of even order, whose $2$-Sylow subgroups are cyclic, is not simple.

Understanding a Cyclic Group Proof

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