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Welcome to the Group Theory MCQs Page

Dive deep into the fascinating world of Group Theory with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Group Theory, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Group Theory, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Group Theory. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Group Theory. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Group Theory MCQs | Page 6 of 9

Explore more Topics under Discrete Mathematics

Q51.
a * H is a set of _____ coset.
Discuss
Answer: (b).left
Discuss
Answer: (d).H is subgroup of an abelian group
Discuss
Answer: (b).the order of the subgroup divides the order of the finite group
Q54.
A function is defined by f(x)=2x and f(x + y) = f(x) + f(y) is called _____________
Discuss
Answer: (a).isomorphic
Q55.
An isomorphism of a group onto itself is called ____________
Discuss
Answer: (d).automorphism
Q56.
The elements of a vector space form a/an ____________ under vector addition.
Discuss
Answer: (a).abelian group
Q57.
A set of representatives of all the cosets is called _________
Discuss
Answer: (d).transversal
Q58.
How many different non-isomorphic Abelian groups of order 8 are there?

a.

5

b.

4

c.

2

d.

3

Discuss
Answer: (c).2
Q59.
Consider the set B* of all strings over the alphabet set B = {0, 1} with the concatenation operator for strings ________
Discuss
Answer: (a).does not form a group
Q60.
An infinite cyclic group does not have a ______ series.
Discuss
Answer: (c).Composite
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