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Anu Shekhar posted an Question
November 01, 2021 • 00:33 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
How to find out order of each element?
Math Example : In the group KO, 1, 2, 3), +J t 0 1 2 3 0 0 1 2 3 1 2 3 0 2 2 30 1 3 3 01 2 Here 0 is the identity element 0+, 0 = 0 O(0) =1 1 + 0 = 1, 1 +, 1 = 2, 1+, 2 = 3, 1+, 3 = 0 -~ O(1) = 4 2 +, 0 2, 2 +, 1 = 3, 2 + 2 = 0 O(2) = 3 3+ 0 = 3, 3+, 1 = 0 O(3) = 2 4
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Anonymous User Best Answer
how many times add number for getting identity element zero 0=0. O(0)=1 1+1+1+1=4=0. O(1)=4 2+2=4=0. O(2)=2 3+3+3+3=12=0. O(3)=4