Discrete Structures & Theory of Logic Unit 4 – Algebraic Structures (Group Theory): important questions for AKTU
Unit 4 (Algebraic Structures (Group Theory)) questions that AKTU repeats most often. This unit carries about 26 marks per paper. Start with the repeated questions, then the most asked topics.
Most repeated Unit 4 questions
- How many generators are there of the cyclic group G of order 10. (7 marks, 2026, Groups & Subgroups) – also asked in 2025
- Calculate the number of generators of the cyclic group of order 8. (7 marks, 2025, Groups & Subgroups) – also asked in 2026
- Let G= {1, -1, i, - i} with the binary operation multiplication be an algebraic structure, where i = √-1 then determine whether G is an Abelian group. Also if G is cyclic Group, then determine the generator of G. (7 marks, 2024, Groups & Subgroups) – also asked in 2023
Most important Unit 4 topic
- Groups & Subgroups (Unit 4: Algebraic Structures (Group Theory)) – asked 13 times in 2020, 2021, 2022, 2023, 2024, 2025, 2026
Most asked Unit 4 topics
- Groups & Subgroups – asked 13 times
- Rings & Fields – asked 13 times
- Cosets & Lagrange's Theorem – asked 6 times
More Unit 4 previous year questions
- Let H be a subgroup of a finite group G. Prove that order of H is a divisor of order G. (7 marks, 2026, Cosets & Lagrange's Theorem)
- State and prove Lagrange’s theorem. (7 marks, 2026, Cosets & Lagrange's Theorem)
- Define zero divisor of a ring. (2 marks, 2026, Rings & Fields)
- Define Abelian group. (2 marks, 2025, Groups & Subgroups)
- Solve in how many ways can you arrange the letters in the word "DISCRETE"? (2 marks, 2025, Groups & Subgroups)
Unit 4 syllabus topics
- Groups & Subgroups
- Cosets & Lagrange's Theorem
- Group Homomorphism
- Rings & Fields