What is a fundamental characteristic of a group?
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
It is always commutative.
It has a finite number of elements.
It is a subset of a larger set.
It has an identity element.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the identity element in a group?
It leaves elements unchanged when combined.
It determines the group's structure.
It is used to combine elements.
It defines the group's size.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of a group operation?
Exponentiation
Subtraction
Division
Multiplication
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a property of a group?
Identity element
Inverse element
Commutativity
Associativity
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which field are groups particularly significant?
Physics
Biology
Literature
Economics
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