Examples of groups

Multiplicative group of integers modulo 𝑛

For any positive integer 𝑛 ∈ℕ, the multiplicative group of integers modulo 𝑛 ℤ×𝑛 consists of all positive integers coprime with 𝑛, group i.e.

ℤ×𝑛={𝑥∈ℤ𝑛:gcd(𝑥,𝑛)=1}

which is the Group of units of the Ring of integers modulo 𝑛.

---

tidy | en | SemBr