cuti3panda Posted October 7, 2004 Share Posted October 7, 2004 1)Let G be an Abelian group and let H={g in G/ IgI divides 12}. Prove that H is a subgroup of G. Is there anything special about 12 here? Would your proof be valid if 12 were replaced by some other positive integer? State the general result? 2) Find a collection of distint subgroup <a1>, <a2>,.....,<an> of Z240 with the proberty that <a1> C <a2> C.....C <an> with n as large as possible. if you have time, drop me a line anyone!!! Link to comment Share on other sites More sharing options...
matt grime Posted October 8, 2004 Share Posted October 8, 2004 What is the order of xy if x,y are elements of finite abelian group with ord(x)= p and ord(y)=q? Link to comment Share on other sites More sharing options...
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