group
A group G is a non-empty set upon whi Ch 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 Asso Ciative: * is asso Ciative on G, (a*b)* C = a*(b* C) Identity: There is an identity element e su Ch that a*e = e*a = a. Inverse: Every element has a unique inverse a' su Ch that a * a' = a' * a = e. The inverse is usually written with a supers Cript -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 ]
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