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Groups and FieldsChallengeNormal Subgroups and Quotient Groups

Normal Subgroups and Quotient Groups · Challenge problem

In Z1001\mathbb Z_{1001}, let H=⟨7⟩H=\langle7\rangle (order 143143) and K=⟨13⟩K=\langle13\rangle (order 7777). Using the Second Isomorphism Theorem, find ∣HK/K∣|HK/K|.