Arjun Suresh (talk | contribs) |
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− | Which one of the following | + | 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 | + | [[Category: Graph Theory questions from GATE]] |
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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
By definition, in a group, commutativity is not necessary. So option (A) is correct.
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
By definition, in a group, commutativity is not necessary. So option (A) is correct.