List questions from cyclic-groups

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A group with no proper non-trivial subgroups

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How to find subgroups of $ \;\;\Bbb Z_2\times \Bbb Z_6$

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Help me to prove that group is cyclic

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Subgroups of the group of all roots of unity.

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Let $m, n$ be relatively prime and $G, G'$ be cyclic groups of orders $m, n$, respectively. Show that $G \times G'$ is cyclic of order $mn$.

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A Question Based on Properties of Direct Product of Fields

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Proving that $X^n-a$ is irreducible if $a$ is no $p$-th power for any prime $p$ dividing the degree diving the degree

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Classifying the cyclic extensions of a fixed degree

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Show that $\mathbb{Z}/3\mathbb{Z}$ is a torsion $\mathbb{Z}$ module

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How many unique values of $\cos(\frac{a\pi}{N})\cos(\frac{b\pi}{N})$ are there for the positive integers $a,b < N$

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List Question

Fibonacci Sequence in $\mathbb Z_n$.

Cyclic subgroups and generators

What does it mean to have no proper non-trivial subgroup

Understanding a Theorem regarding Order of elements in a cyclic group

A group with no proper non-trivial subgroups

When are the product of cyclic groups also cyclic?

How to find subgroups of $ \;\;\Bbb Z_2\times \Bbb Z_6$

Help me to prove that group is cyclic

Subgroups of the group of all roots of unity.

Let $m, n$ be relatively prime and $G, G'$ be cyclic groups of orders $m, n$, respectively. Show that $G \times G'$ is cyclic of order $mn$.

A Question Based on Properties of Direct Product of Fields

Proving that $X^n-a$ is irreducible if $a$ is no $p$-th power for any prime $p$ dividing the degree diving the degree

Classifying the cyclic extensions of a fixed degree

Show that $\mathbb{Z}/3\mathbb{Z}$ is a torsion $\mathbb{Z}$ module

How many unique values of $\cos(\frac{a\pi}{N})\cos(\frac{b\pi}{N})$ are there for the positive integers $a,b < N$

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