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Group Theory (D-22)
L-1 Introduction to Groups and Examples
L-2 Properties of Groups
L-3 Order of an Element and Properties-1
L-3 Order of an Element and Properties-2
L-4 Subgroups
L-5 Some Important Subgroups
L-6- Cyclic Groups
L-7 Finitely Generated Groups
L-8- Introduction to Dihedral Groups
L-9- Properties of Dihedral Groups
L-10 Introduction to Symmetric Groups
L-11 Properties of Symmetric Groups
L-12 More Properties of Symmetric Groups
L-13 Cosets and Lagrange's Theorem
L-14 Lagrange's Theorem and Its Corollaries
L-15 Normal Subgroups
L-16 Factor Groups and Group Homomorphisms
L-17 Group Homomorphism
L-18 Isomorphism Theorems and External Direct Product
L-19 Fundamental Theorem of Abelian Groups and the Conjugacy classes
L-20 The Class Equation
L-21 The Sylow's Theorems
L-22 Simple Groups and Extra Topics
L-23 Group Theory Doubt Session-1
L-24 Group Theory Doubt Session-2
L-25 Group Theory Doubt Session-3
L-26 Group Theory Doubt Session-4
L-27 Group Theory Doubt Session-5
L-28 Group Theory Doubt Session-6
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Group Theory
Ring Theory (D-22)
L-1 Introduction to Rings
L-2 Properties of Rings
L-3 Integral Domains and Fields
L-4 Ideals in a Ring
L-5 Factor Rings and Ring Homomorphisms
L-6 Ring Isomorphism Theorems and Prime Ideals
L-7 Maximal Ideals
L-8 Polynomial Rings
L-9 Irreducibility Criteria
L-10 Irreducibility of polynomials and Divisibility in Integral Domain
L-11 Divisibility in Integral Domains (UFD, PID and ED)
L-12 Ring Theory Question Session-1
L-13 Ring Theory Question Session-2
L-14 Ring Theory Question Session-3
Field Theory
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Ring Theory