If N is a normal subgroup of G iff every left coset of N in G is a right coset of N in G | In Tamil

In this video I have explained the important lemma
The subgroup N of G is a normal subgroup of G iff every left coset of N in G is a right coset of N in G

Algebraic Structures I Links:

HK is a subgroup of G iff HK=KH | A Counting Principle | Algebraic Structures I | In Tamil:    • HK is a subgroup of G iff HK= KH | #1...  

Important theorem | o(HK) = o(H)o(K)/o(HnK) | A counting principle| Algebraic Structures I | In Tamil :    • Important theorem | o(HK) = o(H) o(K)...  

Normalizer or centralizer of a in G | N(a) is a subgroup of G | Algebraic Structures I | In Tamil :    • Normalizer of an element | N(a) is a ...  

Centre of G, Z (G) | Prove that Z is a subgroup of G| #4 | Algebraic Structures I | In Tamil
:    • Centre of G, Z(G) |  Prove that Z is ...  

Normal Subgroups | Important Lemma | #5 | Algebraic Structures I | In Tamil:    • Normal Subgroups | Important Lemma | ...  

Lagrange’s Theorem in Tamil:    • Lagrange's Theorem in Tamil  

Order of an element:    • Order of an element || O(a)|O(G) || a...  

A subgroup of a cyclic group is cyclic:    • A subgroup of a cyclic group is cyclic  

Every cyclic group is abelian in Tamil:    • Every cyclic group is abelian  

Cyclic Subgroups in Tamil:    • Cyclic Subgroups in Tamil  

Cyclic Groups in Tamil:    • Cyclic Groups in Tamil  

Congruence in Tamil:    • Congruence in Tamil  

Cosets and Index of a Subgroup in Tamil:    • Cosets and Index of a Subgroup in Tamil  

MCQ’S on Group in Tamil:    • MCQ'S on Group | B.Sc Maths| CSIR| NE...  

Linear Algebra Links :

Vector Space | Definition | Linear Algebra | In Tamil:    • Vector Space | Definition | Linear Al...  

Subspace | Definition and Example | Linear Algebra | In Tamil :    • Subspace | Definition and Example | L...  

T is an isomorphism iff Ker T = {0} | Linear Algebra | In Tamil :    • T is an isomorphism if and only if Ke...  

Quotient Space|| V/W is a vector space over F || Linear Algebra || In Tamil :    • Quotient Space || V /W is a vector sp...  

Linear Combination| Linear Span | Definition and Example| Linear Algebra| In Tamil:    • Linear Combination | Linear Span | De...  

L(S) is a subspace of V | Important Lemma | In Tamil| Linear Algebra :    • L(S) is a subspace of V | Important L...  

S is contained in T implies L (S) is contained in L (T), L(SUT)= L(S)+L(T), L(L(S)) = L(S) | In Tamil | Linear Algebra:    • 1.S is contained in T implies L(S) is...  

Linearly dependent | Linearly independent | Finite dimensional vector space :    • Linearly dependent and Linearly indep...  

Linear Span has a unique representation| Important Lemma| In Tamil:    • Linear Span has a unique representati...  

Important Theorem | vk is a linear combination of the preceding vectors v1,...,vk-1 | Linearly independent :    • Important Theorem | vk is a linear co...  

Important Corollary | Subset consisting of linearly independent elements whose linear span is W :    • Important Corollary | Subset consisti...  

Basis | Definition and Example| Linear Algebra | In Tamil :    • Basis | Definition and Example | Line...  

If V is finite dimensional over F then any two bases of V have the same number of elements :    • If V is finite dimensional over F the...  

Important Lemma | dim V/W = dim V - dim W | Linear Algebra | In Tamil:    • Important Lemma | dim V/W = dim V - d...  

Important Corollary | dim (A+ B) = dim A + dim B - dim(AnB) | Linear Algebra| In Tamil :    • Important Corollary | dim (A+B) = dim...  

Hom (V,W) is of dimension mn over F | Dual spaces| Linear Algebra | In Tamil:    • Hom (V, W) is of dimension mn over F ...  

Dual Space| Dual Basis| if v is not equal to 0 then there is an element f belongs to V s.t f(v) is not equal to 0:    • Dual Space| Dual Basis | v is not equ...  

Keep supporting our channel

Thanks for Watching

Subscribe our Channel and hit the 🔔 bell button

For any doubts kindly give your comments below