Groups
Description: This quiz covers the fundamental concepts and properties of groups in abstract algebra. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: groups algebra abstract algebra mathematical structures |
Which of the following is an example of a group?
What is the identity element of the group of integers under addition?
Which of the following is a property of groups?
What is the order of the group of integers under addition?
Which of the following is an example of a cyclic group?
What is the generator of the cyclic group of integers under addition?
Which of the following is an example of a non-abelian group?
What is the order of the group of quaternions under multiplication?
Which of the following is an example of a subgroup?
What is the order of the subgroup of the group of integers under addition consisting of the even integers?
Which of the following is an example of a normal subgroup?
What is the quotient group of the group of integers under addition by the subgroup of even integers?
Which of the following is an example of a group homomorphism?
What is the kernel of the group homomorphism that maps each integer to its absolute value?
Which of the following is an example of a group isomorphism?