List questions from cyclic-groups

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Efficient way of writing the elements of a quotient group.

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Is every direct product of (finite) cyclic groups abelian?

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Generator for Galois group

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distinct cyclic subgroups

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Subgroups for $F=(\mathbb Z_{12},+)$

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Is $\begin{bmatrix} a &b \\0 &1 \end{bmatrix}$ a cyclic group?

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Checking whether a code is cyclic by using the generator matrix

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Sifting function, generators of a cyclic group

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Determine if $\Bbb Z_2 \times \Bbb Z_3$ is isomorphic to $\Bbb Z_6$.

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Prove that a symmetric group $S_n$ has a cyclic subgroup of order $n$.

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Confusion About Theorem for Finitely Generated Abelian Groups

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Is the order of a quotient of the multiplicative group of integers a prime power if the group is cyclic?

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A few questions about cyclic groups

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Proof Multiplicative Group of Integers Modulo p is Cyclic

Published on 21 Feb 2021 - 23:21

List Question

Group of order $pqrt$

Efficient way of writing the elements of a quotient group.

Is every direct product of (finite) cyclic groups abelian?

Generator for Galois group

distinct cyclic subgroups

Subgroups for $F=(\mathbb Z_{12},+)$

Is $\begin{bmatrix} a &b \\0 &1 \end{bmatrix}$ a cyclic group?

Checking whether a code is cyclic by using the generator matrix

Sifting function, generators of a cyclic group

Determine if $\Bbb Z_2 \times \Bbb Z_3$ is isomorphic to $\Bbb Z_6$.

Prove that a symmetric group $S_n$ has a cyclic subgroup of order $n$.

Confusion About Theorem for Finitely Generated Abelian Groups

Is the order of a quotient of the multiplicative group of integers a prime power if the group is cyclic?

A few questions about cyclic groups

Proof Multiplicative Group of Integers Modulo p is Cyclic

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