Homomorphism Quiz
Authored by Kathlyn Macaburas
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7th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a homomorphism?
A type of group operation
A mapping between two groups
A property of numbers
A method of solving equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the term 'homos' mean in Greek?
Different
Form
Same
Shape
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the kernel of a homomorphism?
The inverse of a function
The identity element of a group
The set of elements that map to the identity
The operation of the group
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a homomorphism is a bijection, what is it called?
Endomorphism
Isomorphism
Epimorphism
Automorphism
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the operation used in the group G in the example?
Division
Addition
Multiplication
Subtraction
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the identity element in the group H in the example?
i
0
-1
1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the mapping f(x) = i^x represent?
A constant function
An identity function
A function from H to G
A function from G to H
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