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)

Style="border-width:thin; border-color:#333333; border-Style:daShed; padding:5px;" align="left">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 ]