# Changes

/* Examples */clean up & uniformity

{{Math-h}}A '''group''' is a mathematical structure consisting of a [[set ]] of elements combined with a [[binary operator ]] which satisfies four conditions:

#'''Closure''': applying the binary operator to any two elements of the group produces a result which itself belongs to the group

#'''Existence of Inverse''': for each element <math>A</math>, there must exist an inverse <math>A^{-1}</math> such that <math>AA^{-1} = A^{-1}A = I</math>

A group with [[commutative ]] binary operator is known as [[Abelian group|Abelian]].

[[Category:Algebra]]