|Nov25-12, 11:45 AM||#1|
isomorphism types of abelian groups
wrtie down the possible isomorphism types of abelian groups of orders 74 and 800
then for 74=2*37 then Z(74) is isomorphism to Z2 * Z37 (by chinese remainder theorem) then for 74 , 2 we have Z74 and Z2*Z37 (i am not sure it is right or wrong
then for 800 i know i should apply the fundamental theorem of fintely generated abelian groups, but i am not quite understand the methods of it , can someone help me the 800 case??????
|Nov25-12, 01:19 PM||#2|
What does the fundamental theorem say? What have you tried so far?
|Nov25-12, 06:09 PM||#3|
so we get 12 different groups:
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