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>In mathematics, a group is an algebraic structure consisting of a set of elements together with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

>In mathematics, and more specifically in abstract algebra, the term algebraic structure generally refers to a set (called carrier set or underlying set) with one or more finitary operations defined on it.

>A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.

>In mathematics, the associative property is a property of some binary operations. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

>Within an expression containing two or more occurrences in a row of the same associative operator, the order in which the operations are performed does not matter as long as the sequence of the operands is not changed.

>In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. It leaves other elements unchanged when combined with them.

>In mathematics, the Latin square property is an elementary property of all groups and the defining property of quasigroups. It states that if (G, *) is a group or quasigroup and a and b are elements of G, then there exists a unique element x in G such that a*x=b, and a unique element y of G such that y*a=b.

https://en.wikipedia.org/wiki/Latin_square_property

Thanks Wikipedia. You're useless for political subjects, but recursively searching eventually leads to concepts I'm familiar with.