November 8th, 2011, 01:20 AM  #1 
Newbie Joined: Oct 2011 Posts: 14 Thanks: 0  subgroup
Let H be a subgroup of G and . Then prove: . Does anyone know how to solve or can give any clue? 
November 8th, 2011, 01:24 AM  #2 
Newbie Joined: Oct 2011 Posts: 14 Thanks: 0  Re: subgroup
There should be: 
November 10th, 2011, 09:08 AM  #3 
Member Joined: Jun 2010 Posts: 64 Thanks: 0  Re: subgroup
IS not true that for all g from G g*g is at H, let suppose that G/H is a group and G/H={xH,H } ,since G/H is group and H is zero of G?H we have that x*h is at (xH)(H)=xH so is not at H ,and h at H and we have xh isnot at H ! ,so your question is incorrect. 

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