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Which one of the following in '''NOT''' necessarily a property of a Group?
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Which one of the following is '''NOT''' necessarily a property of a Group?
  
 
'''(A) Commutativity'''   
 
'''(A) Commutativity'''   
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[[Category: GATE2009]]
 
[[Category: GATE2009]]
[[Category: Graph Theory questions]]
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[[Category: Graph Theory questions from GATE]]
[[Category:Discrete Mathematics questions]]
 

Latest revision as of 20:25, 15 September 2014

Which one of the following is NOT necessarily a property of a Group?

(A) Commutativity

(B) Associativity

(C) Existence of inverse for every element

(D) Existence of identity

Solution by Happy Mittal

By definition, in a group, commutativity is not necessary. So option (A) is correct.



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Which one of the following in NOT necessarily a property of a Group?

(A) Commutativity

(B) Associativity

(C) Existence of inverse for every element

(D) Existence of identity

Solution by Happy Mittal[edit]

By definition, in a group, commutativity is not necessary. So option (A) is correct.



blog comments powered by Disqus