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Computer Science (GATE Exam) 2009 - Previous Question Paper Solution

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

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A
Commutativity
💡 Explanation:

A group requires four properties: closure (implicit), associativity, identity element, and inverses. Commutativity (ab = ba for all a,b) is NOT required - groups with commutativity are called 'abelian groups'. So commutativity is the correct answer as the non-required property.

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