Recent content by dbrun

Thank you all for the help. After checking with the instructor the book indeed does have an error. The problem should be: In Z4 x Z6, find two subgroups H and K of order 4 such that H is not isomorphic to K, but (Z4 x Z6)/H isomorphic (Z4 x Z6)/K

I doubled checked and I think I have the problem written correctly. I scanned it just to make sure, here is a link: http://yfrog.com/e5problem9j Thanks again! Don

Thank you for the reply. I really appreciate the response and have tried to correct my mistakes below. 1) The order of Z4xZ4 is 16. I have 16 elements written out, but I failed to double check my post. 2) I am not sure I am understanding your hint. Here is how I determined my groups...

Homework Statement In Z4 x Z4, find two subgroups H and K of order 4 such that H is not isomorphic to K, but (Z4 x Z4)/H isomorphic (Z4 x Z4)/K Homework Equations The Attempt at a Solution I know (Z4 x Z4) has twelve elements (0,0), (1,0), (2,0), (3,0), etc. I can generate subgroups of...