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Matamaitic » Céimseata » Céimseata Chomhordanáideach Is foghrúpa den ghrúpa G é fo-thacar de G más gá agus más leor go ndéanann a bhaill grúpa i gcoibhneas le hoibríocht * de chuid G. Is léir nach mór d'fhoghrúpa F de chuid G céannacht e de chuid G a bheith ann, agus má tá a in F, gur ionann a inbhéarta a' in F agus a inbhéarta i G.
Mathematics » Geometry » Coordinate Geometry A subset of a group G is a subgroup of G if and only if its elements form a group relative to the operation * of G. It is evident that a subgroup S of G must contain the identity e of G and that if a is in S, its inverse a' in S is the same as its inverse in G.