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Problem Drill Session
Multiple Choice
Long Question
Mixed Practice
Number of Questions:
Select Topics (Optional):
Start Drill
CUHK Maths Question Bank
Problem Drill Session
Multiple Choice
Long Question
Mixed Practice
Number of Questions:
Select Topics (Optional):
m1
m2
Group Theory
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Basic Group Concepts and Lagrange’s Theorem
Normal Subgroups and Quotient Groups
Group Homomorphisms and Isomorphisms
Series of Groups (Composition / Derived)
Isomorphism Theorems for Groups
Structure of Finitely Generated Abelian Groups
Free Groups, Generating Sets, Presentations
Group Actions and Cayley’s Theorem
Sylow Theorems and p-subgroups
Ring Theory
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Definitions, Examples and Basic Properties of Rings
Ring Homomorphisms and Isomorphisms
Ideals: Prime and Maximal
Factor Rings / Quotient Rings
Integral Domains, Fields, Ring of Fractions
Unique Factorization Domains (UFDs)
Principal Ideal Domains (PIDs)
Structure Theorem for Finitely Generated Modules over PIDs
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Start Drill
