Home/Algebra/Algebraic structures/Subgroup criterion27. Algebraic structuresSubgroup criterionLevel: avanzadoIn 27. Algebraic structuresFormulaCopy LaTeXa,b∈H⇒ab−1∈Ha,b\in H\Rightarrow ab^{-1}\in Ha,b∈H⇒ab−1∈HTagsalgebraCSstructuresstructures algebraicalgebra formulaDetailCompact criterion for verifying nonempty subgroups.Found an error? Contact us.Related formulasRelatedGroup(G,∗) con clausura, asociatividad, identidad e inversos(G,*)\text{ con clausura, asociatividad, identidad e inversos}(G,∗) con clausura, asociatividad, identidad e inversosOpen formulaOpen in section