New posts in Cyclic Groups

Finding quadratic residues without Legendre symbols

Prove that a cyclic group with only one generator can have at most 2 elements

Alternative proof that $U(n^2-1)$ is not cyclic for $n>2$.

More `General' Chinese Remainder Theorem

Let $A$ be an $n \times n$ matrix with real entries such that $A^2 + I = 0$ then $n$ is even.

Number of homomorphisms between two cyclic groups.

Is this group of matrices cyclic?

Nature of $G$ when $N$ is cyclic, normal subgroup of $G$ and $G/N$ is cyclic

Multiplicative group of an infinite field is not cyclic

A finite group which has a unique subgroup of order $d$ for each $d\mid n$.