2.1.12. Corollary Let (H) be a nomal subgroup of the group (G).There is one -one correspondence between those subgroups (K.) of(G.) such that HCK and the set of all subgroups of the quotient(G/H.O).Proof. Exc.

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Answered: 2.1.12. Corollary Let (H)be a nomal…

Elements Of Modern Algebra

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Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 12E: Let H and K be subgroups of a group G and K a subgroup of H. If the order of G is 24 and the order...

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2.1.12. Corollary Let (H)be a nomal subgroup of the group (G). There is one -one correspondence between those subgroups (K.) of (G.) such that HCK and the set of all subgroups of the quotient (GI H.®).