Problems Section 17

: 136.330 Intro to Algebra: Problems Section 17
   By Anonymous on Sunday, December 08, 2002 - 05:42 pm: Edit Post

17.13) Find all of the subgroups of Z2 X Z2. The answer is "there are five subgroups", how come?


   By Anonymous on Sunday, December 08, 2002 - 06:33 pm: Edit Post

I'm pretty sure these are the five subgroups. I'm sure I'll be corrected if I'm wrong.

1. ([0],[0]) = id.
2. {([0],[0]),([0],[1])}
3. {([0],[0]),([1],[0])}
4. {([0],[0]),([1],[1])}
5. Z2 x Z2


   By Sasho on Sunday, December 08, 2002 - 06:37 pm: Edit Post

17.13. The second post above has them all. Good.


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