THE SCHUR–ZASSENHAUS THEOREM KEITH CONRAD When N is a normal subgroup of G, can we reconstruct G from N and G N ? In general, no. For instance, the groups Z (p2 ) and Z (p) × Z (p) (for prime p) are nonisomorphic, but - Subgroup - Document - PDFSEARCH.IO

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	THE SCHUR–ZASSENHAUS THEOREM KEITH CONRAD When N is a normal subgroup of G, can we reconstruct G from N and G/N ? In general, no. For instance, the groups Z/(p2 ) and Z/(p) × Z/(p) (for prime p) are nonisomorphic, but Add to Reading List Document Date: 2016-12-17 14:23:25 Open Document File Size: 193,86 KB Share Result on Facebook

THE SCHUR–ZASSENHAUS THEOREM KEITH CONRAD When N is a normal subgroup of G, can we reconstruct G from N and G/N ? In general, no. For instance, the groups Z/(p2 ) and Z/(p) × Z/(p) (for prime p) are nonisomorphic, butAdd to Reading List