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Assessment
What is the identity element in a group?
An element that, when combined with any element in the group, returns that element.
An element that, when combined with itself, results in the identity.
An element that can generate the entire group.
An element that has no inverse.
Which property is NOT required for a set with a binary operation to be classified as a group?
Associativity
Identity element
Closure
Commutativity
What is a subgroup?
A group that contains an element that is not in the original group.
A group that satisfies the group operation within a subset of elements from a larger group.
A group that is the same as the original group.
An infinite group containing finitely many elements.
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