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A subgroup has the properties of ________(a) Closure, associative(b) Commutative, associative, closure(c) Inverse, identity, associative(d) Closure, associative, Identity, InverseThis question was addressed to me in homework.My doubt stems from Group Axioms in section Groups of Discrete Mathematics

Answer»

Right ANSWER is (d) Closure, associative, Identity, Inverse

To elaborate: A subgroup S is a subset of a group G (denoted by S <= G) if it holds the FOUR properties simultaneously – Closure, Associative, Identity and Inverse ELEMENT.



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