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List Question

representation of an element in a cyclic group in a normal form

Non-cyclic subgroup of order 4 in non-dihedral group

extension condition for free abelian groups

$p$-group with a cyclic subgroup

Schur's Multiplier exercise (Problem 5A.7 Isaacs' Finite Group Theory)

generalized version of definition of cyclic groups and its abelian property

But what is with the other cyclic groups? Doesn't one also have to consider them?

Normalizer of a subgroup generated by a cycle.

Is $U(\mathbb{Z}_{54})$ a cyclic group?

Finding the generator of cyclic group $U(Z_{27})$

What is a generator of a finite cyclic group? (General)

Dihedral group of order 2n

If $G$ is a group and $y \in G$\ $\langle x \rangle$ , then can $\langle y \rangle$ be $G$?

Finite group with unique subgroup of each order.

A Finite Group of Nonprime Order which is Unique up to Cyclic Group

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