List questions from cyclic-groups

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Cyclic groups: find power

Published on 13 Aug 2014 - 3:36

377

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Rational group algebras and maximal orders

Published on 25 Mar 2026 - 7:42

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A question on cyclic group with finite order

Published on 23 Aug 2014 - 17:03

596

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Does every group have a 'cyclization'?

Published on 24 Aug 2014 - 0:29

453

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Proving $|G|=pq$ and $p>q$ , $q$ does not divide $p-1$ $\implies$ $G$ is cyclic , without using Cauchy's and Sylow's theorems

Published on 27 Aug 2014 - 10:54

134

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$G=\{f_n(x):n\in \mathbb{Z}\}$ is cyclic

Published on 27 Mar 2026 - 20:20

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Left Cosets of Cyclic Subgroup

Published on 24 Feb 2026 - 5:33

138

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Is $\cos \frac{5\pi}{8}+i\sin\frac{5\pi}{8}$ in $U_8$, the multiplicative group of the $8$th roots of unity in $\mathbb{C}$?

Published on 30 Aug 2014 - 0:17

81

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Subgroups and cyclic groups

Published on 31 Aug 2014 - 23:15

151

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Determining all homomorphisms from $\mathbb Z_m$ to $\mathbb Z_n$ ?

Published on 13 Sep 2014 - 14:02

2k

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When p groups are cyclic?

Published on 13 Sep 2014 - 20:27

401

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Complement but not direct summand; Lam, Lectures on Modules and Rings, Example 6.17(5)

Published on 14 Sep 2014 - 12:14

177

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Proofread my work: Expressing generators of a cyclic group

Published on 19 Sep 2014 - 16:33

532

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Cycles of odd length: $\alpha^2=\beta^2 \implies \alpha=\beta$

Published on 19 Sep 2014 - 18:19

List Question

Show that $Z\times Z$ is not cyclic...

Cyclic groups: find power

Rational group algebras and maximal orders

A question on cyclic group with finite order

Does every group have a 'cyclization'?

Proving $|G|=pq$ and $p>q$ , $q$ does not divide $p-1$ $\implies$ $G$ is cyclic , without using Cauchy's and Sylow's theorems

$G=\{f_n(x):n\in \mathbb{Z}\}$ is cyclic

Left Cosets of Cyclic Subgroup

Is $\cos \frac{5\pi}{8}+i\sin\frac{5\pi}{8}$ in $U_8$, the multiplicative group of the $8$th roots of unity in $\mathbb{C}$?

Subgroups and cyclic groups

Determining all homomorphisms from $\mathbb Z_m$ to $\mathbb Z_n$ ?

When p groups are cyclic?

Complement but not direct summand; Lam, Lectures on Modules and Rings, Example 6.17(5)

Proofread my work: Expressing generators of a cyclic group

Cycles of odd length: $\alpha^2=\beta^2 \implies \alpha=\beta$

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