List questions from cyclic-groups

Published on 30 Mar 2026 - 2:11

272

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If $G$ is not abelian, then $\#\text{Inn}(G) \geq 4$

Published on 29 Mar 2026 - 18:32

286

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Relation between generator polynomial and codeword in a cyclic code

Published on 28 Mar 2026 - 15:12

39

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Order of the $p^s$-torsion subgroup of $C_{p^r}$ for some prime $p$

Published on 27 Jun 2020 - 17:51

460

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Proof verification: If factor group $G/Z(G)$ is cyclic then $G$ is Abelian

Published on 27 Jun 2020 - 23:10

242

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Index of cyclic subgroup $\langle h \rangle$ in a subgroup $H$ with finite index in a finitely generated group $G$

Published on 27 Mar 2026 - 17:06

560

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A non-cyclic proper subgroup of $(\Bbb{Q},+)$

Published on 26 Mar 2026 - 4:52

129

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Find the generator of $(Z,*)$

Published on 04 Jul 2020 - 6:44

432

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Presentation for the product of two cyclic groups

Published on 26 Mar 2026 - 2:35

595

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If $H$ and $K$ are cyclic subgroup of $G$ then $HK$ is subgroup of $G$?

Published on 06 Jul 2020 - 7:50

569

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Proving that $((\mathbb{Z}/p\mathbb{Z})^{\times},\times)$ is a group under the condition that $p$ is a prime number.

Published on 07 Jul 2020 - 0:14

596

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Is $U_{7^{n}}$ cyclic?

Published on 07 Jul 2020 - 7:34

82

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Finding the minimal $n$ such that $C_{12}$ is a subgroup of $S_{n}$

Published on 26 Mar 2026 - 17:32

116

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Prove or disprove: a group with 3 different elements of order 6 can't be cyclic.

Published on 11 Jul 2020 - 7:44

49

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Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

Published on 26 Mar 2026 - 3:01

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Question on sets of numbers in "$8_3$ in $PG(2,q)$"...

If $G$ is not abelian, then $\#\text{Inn}(G) \geq 4$

Relation between generator polynomial and codeword in a cyclic code

Order of the $p^s$-torsion subgroup of $C_{p^r}$ for some prime $p$

Proof verification: If factor group $G/Z(G)$ is cyclic then $G$ is Abelian

Index of cyclic subgroup $\langle h \rangle$ in a subgroup $H$ with finite index in a finitely generated group $G$

A non-cyclic proper subgroup of $(\Bbb{Q},+)$

Find the generator of $(Z,*)$

Presentation for the product of two cyclic groups

If $H$ and $K$ are cyclic subgroup of $G$ then $HK$ is subgroup of $G$?

Proving that $((\mathbb{Z}/p\mathbb{Z})^{\times},\times)$ is a group under the condition that $p$ is a prime number.

Is $U_{7^{n}}$ cyclic?

Finding the minimal $n$ such that $C_{12}$ is a subgroup of $S_{n}$

Prove or disprove: a group with 3 different elements of order 6 can't be cyclic.

Question from Mac Lane and Birkhoff (Chapter II Section 5) -- Universal property(?) of direct product of cyclic groups

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