Discrete Mathematics Cosets Online Exam Quiz
Discrete Mathematics Cosets GK Quiz. Question and Answers related to Discrete Mathematics Cosets. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Cosets
How many different non-isomorphic Abelian groups of order 8 are there?
Options
A : 5
B : 4
C : 2
D : 3
The elements of a vector space form a/an ____________ under vector addition.
Options
A : abelian group
B : commutative group
C : associative group
D : semigroup
Consider the set B* of all strings over the alphabet set B = {0, 1} with the concatenation operator for strings ________
Options
A : does not form a group
B : does not have the right identity element
C : forms a non-commutative group
D : forms a group if the empty string is removed from
a * H = H * a relation holds if __________
Options
A : H is semigroup of an abelian group
B : H is monoid of a group
C : H is a cyclic group
D : H is subgroup of an abelian group
An isomorphism of a group onto itself is called ____________
Options
A : homomorphism
B : heteromorphism
C : epimorphism
D : automorphism
A function is defined by f(x)=2x and f(x + y) = f(x) + f(y) is called _____________
Options
A : isomorphic
B : homomorphic
C : cyclic group
D : heteromorphic
a * H is a set of _____ coset.
Options
A : right
B : left
C : sub
D : semi
Lagrange’s theorem specifies __________
Options
A : the order of semigroup is finite
B : the order of the subgroup divides the order of the finite group
C : the order of an abelian group is infinite
D : the order of the semigroup is added to the order of the group
A set of representatives of all the cosets is called _________
Options
A : transitive
B : reversal
C : equivalent
D : transversal
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