dysgabe5643 dysgabe5643 04-05-2024 Mathematics Answered The group properties of G/H follow from the definition of the product of cosets, g₁H*g₂H=g1g2H. Show that g₁H(g₂H*g₃H)=(g₁H*g₂H)*g₃H if and only if g₁(g₂g₃)=(g₁g₂)g₃; hence associativity in G/H follows from associativity in G.