A group G is a non-empty set upon which a binary operator * is defined with the following properties for all a,b,c in G: Closure: G is closed under *, a*b in G Associative: * is associative on G, (a*b)*c = a*(b*c) Identity: There is an identity element e such that a*e = e*a = a. Inverse: Every element has a unique inverse a' such that a * a' = a' * a = e. The inverse is usually written with a superscript -1. (1998-10-03)

In addition suitable contents:
[ = ] [ al ] [ am ] [ an ] [ ar ] [ arc ] [ as ] [ at ] [ b ] [ bi ] [ binary ] [ C ] [ ch ] [ ci ] [ cl ] [ cr ] [ de ] [ du ] [ E ] [ ed ] [ element ] [ er ] [ era ] [ es ] [ et ] [ fi ] [ file ] [ fo ] [ for ] [ G ] [ gr ] [ h ] [ hat ] [ hr ] [ Id ] [ id ] [ ie ] [ il ] [ in ] [ inverse ] [ iq ] [ is ] [ it ] [ Lex ] [ lose ] [ ly ] [ mo ] [ mod ] [ module ] [ mp ] [ na ] [ ne ] [ ng ] [ ni ] [ no ] [ op ] [ operator ] [ pe ] [ ph ] [ pr ] [ pt ] [ query ] [ rc ] [ re ] [ ro ] [ sc ] [ script ] [ se ] [ set ] [ so ] [ su ] [ T ] [ th ] [ to ] [ tt ] [ ua ] [ up ] [ us ] [ ve ] [ win ]