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	Group Theory Proof: If g^n = e then the order of g divides n (The Math Sorcerer) View
	If (G, *) is a group, prove (𝑎∗𝑏)−1=𝑏−1∗𝑎−1,for all 𝑎,𝑏∈𝐺 \| Unit-4 \| Discrete Mathematics (TechSensei) View
	Groups - Showing G is a group - Part 1 (Patrick J) View
	Proof that f(a) = a^(-1) is a Group Isomorphism if G is Abelian (The Math Sorcerer) View
	Proof that G is an Abelian Group if f(a) = a^(-1) is a Homomorphism (The Math Sorcerer) View
	Let G be a group and let Z(G) be the center of G. If G/Z(G) is cyclic, then G is Abelian. (Roman Education Roman vocabulary) View
	If G is a group u0026 H is a subgroup of index 2 in G, then H is normal in G . (nothing but math proofs) View
	If G is a group, then there exists a positive integer N such that a^N = e for all a in G. \| (nothing but math proofs) View
	A group G is solvable iff G^n=(e) (kanha classes) View
	if G/Z(G) is Cyclic group then G is an Abelian group. (Maths ICU) View