Computetheinverseof\((465312)\).Solution:Since\((465312)=(42)(41)(43)(45)(46)\),wehave\((465312)^{-1}=(46)(45)(43)(41)(42)=(421356)\).#Let\(G\)beagroupanddefineamap\(\lambda_g:G\toG\)by\(\lambda_g(a)=ga\).Provet