linzedun Posted November 11, 2004 Share Posted November 11, 2004 Let G =Z4 external direct product Z4, H= {(0,0),(2,0),(0,2),(2,2)} and K=<(1,2)>. Is G/H isomorphic to Z4 or Z2 external direct product Z2? Is G/K isomorphic to either? Link to comment Share on other sites More sharing options...
matt grime Posted November 11, 2004 Share Posted November 11, 2004 What are the elements of G/H and what are their orders is anything of order 4? What is the order of K? hence the order of G/K (there are only two abelian groups of order 4). Link to comment Share on other sites More sharing options...
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