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Prove that the set A= {0,1,2,3,4,5} is a finite Abelian group under addition modulo 6.

Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 8 Marks

Year: May 2016

1 Answer
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Let S denote the set {1, 2, 3, 4, 5}.

We have 2 € S, 3 € S but $2 X_6 3=0$. Thus S is not closed for additional modulo 6.i.e., $‘+_6’$ is not a binary operation on the set S and so the question of S becoming a group under addition modulo 6 does not arise.

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