Quiz 1

Which of the following is not a binary operation on the set of integers?

• Addition

• Subtraction

• Multiplication

• All of the above.

Intersection of subgroups is a ___________

• group

• subgroup

• semigroup

• cyclic group

Lagrange’s theorem specifies __________

• the order of semigroup is finite

• the order of the subgroup divides the order of the finite group

• the order of an abelian group is infinite

• the order of the semigroup is added to the order of the group

Which of the following group is cyclic?

• D3

• S4

• U(6)

• K4

Identify the mathematician.

• G. W. Leibnitz

• Pythagoras

• C. F. Gauss

• Niels Henrik Abel

The set of real numbers is a group under multiplication.

• True

• False