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do we all know what a binary operator is?
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A '''group''' is a mathematical structure consisting of a [[set]] of elements combined with a binary operator which satisfies four conditions:
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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
 
#'''Closure''': applying the binary operator to any two elements of the group produces a result which itself belongs to the group
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