Let G be a group H be a subgroup of G G|H be set of all right cosets of H in G Is it correct to say H is normal sub-group of G, IFF (IF AND ONLY IF) G|H is a group? Thanks, Aman
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Originally Posted by aman_cc Let G be a group H be a subgroup of G G|H be set of all right cosets of H in G Is it correct to say H is normal sub-group of G, IFF (IF AND ONLY IF) G|H is a group? Thanks, Aman one side is probably in your textbook. the other side: if is a group, then defined by is a well-defined group homomorphism and thus
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