PYQ: Every Finite Cyclic Group is isomorphic to (Zn,+) | Isomorphism of Groups | Group Theory |
Автор: Abhyaskul
Загружено: 2025-10-29
Просмотров: 371
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Welcome to Abhyaskul, your trusted learning platform for HPSC Assistant Professor Mathematics, BSc–MSc University Exams, and IIT Entrance Preparation (IIT JAM, DU, PU, BHU).
In this video, Dr. Himanshu Singla explains a very important and frequently asked theorem in Group Theory:
👉 “Every Finite Cyclic Group is Isomorphic to (ℤₙ, +).”
This is a core result in Abstract Algebra and a regular question in both subjective and objective exams. The video includes:
✅ Step-by-step proof of the theorem
✅ Clear understanding of isomorphism and its properties
✅ Explanation of structure of cyclic groups
✅ How to construct the isomorphism mapping explicitly
✅ Exam-focused tips for writing the answer in BSc, MSc, and HPSC papers
Dr. Himanshu Singla breaks down the concept in a simple and logical manner so that even difficult algebraic ideas become easy to grasp.
📍 Join Abhyaskul to strengthen your foundation in Mathematics for:
HPSC Assistant Professor (Maths)
BSc & MSc University Exams
IIT JAM & Other Entrances
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#HPSC #GroupTheory #Isomorphism #CyclicGroup #BScMaths #MScMaths #IITJAM #Abhyaskul #MathsPreparation
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