Mid Term: Abstract Algebra
Authored by Vener Castañaga
Mathematics
University
CCSS covered
Used 3+ times
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50 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A trivial subgroup consists of ___________
Identity element
Coset
Inverse element
Ring
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Minimum subgroup of a group is called _____________
a commutative subgroup
a lattice
a trivial group
a monoid
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
__________ is not necessarily a property of a Group.
Commutativity
Existence of inverse for every element
Existence of Identity
Associativity
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A group of rational numbers is an example of __________
a subgroup of a group of integers
a subgroup of a group of real numbers
a subgroup of a group of irrational numbers
a subgroup of a group of complex numbers
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Intersection of subgroups is a ___________
group
subgroup
semigroup
cyclic group
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The group of matrices with determinant _________ is a subgroup of the group of invertible matrices under multiplication.
2
3
1
4
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is a circle group?
a subgroup complex numbers having magnitude 1 of the group of nonzero complex elements
a subgroup rational numbers having magnitude 2 of the group of real elements
a subgroup irrational numbers having magnitude 2 of the group of nonzero complex elements
a subgroup complex numbers having magnitude 1 of the group of whole numbers
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