1. Dec 24, 2011 #1

   moont14263

   

   Let G and H be finite groups. The maximal subgroups of GxH are of the form GxM where M is maximal subgroup of H or NxG where N is a maximal subgroup of G. Is this true?

    

   moont14263, Dec 24, 2011
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3. Dec 25, 2011 #2

   micromass

   

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   Is it true in [itex]\mathbb{Z}_2\times \mathbb{Z}_2[/itex]??

    

   micromass, Dec 25, 2011
4. Dec 25, 2011 #3

   moont14263

   

   not true as {(0,0),(1,1)} is a maximal subgroup of Z_2xZ_2 which is not of that form.
   Thank you very much.

    

   moont14263, Dec 25, 2011

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