Security, Math, Cryptography.
Associativity: ∀ x, y ∈ G, (x + y) ⋅ z = x + (y + z) Neutral element: ∃ e ∈ G, ∀ x ∈ G, x + e = x Inverse element: ∀ x ∈ G, ∃ y ∈ G, x + y = e Warning: Do not confuse this group law with the traditional addition. We will see when working with elliptic curve, an example of that. Basically, a group G