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Group theory Lecture 14 | State and prove Sylow's Theorem || Sylow's First theorem | BSc part 3

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State and prove Sylow's Theorem
Prove that the set I(G) of all inner automorphism of a group G is a normal subgroup of the group A(G) of all automorphism


Group Theory
Lecture. 1
   • Modern Algebra Or Abstract algebra| L...  
Lecture.
   • Modern Algebra LEC 3 || Isomorphism o...  

Lecture.4
   • Modern Algebra LEC  4 | Prove that ma...  

LEC.5
   • Modern Algebra Lec.5| Prove that  set...  
LEC. 6
   • Modern Algebra LEC  6 | Inner automor...  
LEC.7
   • Modern Algebra LEC 7 | Prove that rel...  
LEC. 8
   • Modern Algebra LEC  8 | If G is a fin...  
LEC. 9
   • Group theory lecture 9 | Centre of gr...  
LEC. 10
   • modern Algebra LEC 10| If O(G) =p^(2)...  
LEC. 11
   • Modern Algebra LEC 11| Conjugate subg...  

Lecture.12
   • Group theory Lec. 12 | prove that set...  
Lecture.

LEC. 14
   • Group theory Lecture 14 | State and p...  


Modern Algebra or Abstract algebra All Lecture.
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Metric Space all LEC.
   • Topology  




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Vector Analysis All lecture
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Complex analysis all LEC.
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Sylow's Theorem With Proof sylow's first theorem with proof Group Theory (Part 82) modern algebra
Sylow's Theorem With Proof sylow's first theorem with proof Group Theory (Part 82) modern algebra
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modern Algebra LEC 10| If O(G) =p^(2) where p is prime number Then prove that G is an abelian group.
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Sylow's Second Theorem: Statement and proof
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Sylow First Theorem|| Lect14 || Group Theory
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82. Sylow's first theorem state and proof | if p^r divides o(G) then G has subgroup of order p^r
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