Group of order 108 is not simple|Lec-16|Group Theory|MathLOG

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Group of order 108 is not simple|Lec-16|Group Theory|Maths with SuRaj Prateek

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Group of order 108 is not simple
show that group of order 108 is not simple
how to prove group of order 108 is not simple
simple group
normal subgroup
p-ssg
sylow theorem
sylow first theorem
sylow 2nd theorem
sylow's third theorem
application of sylow theorem
normaliser of a subgroup

Timestamp-
0:00 Today's topic
0:24 Definition of Simple Group
1:04 what is P-SSG
3:10 Sylow's First Theorem
3:40 Sylow's 2nd Theorem
4:20 Sylow's 3rd Theorem
5:24 Product of two subgroups
6:12 Lagrange's Theorem
6:42 Normaliser of subgroup
8:09 Subgroup of smallest prime index is Normal
9:14 Proof of group of order 108 is not simple

Abstract algebra-

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Can you please do it for order 540? I can't figure it out its so difficult.

Grassmpl

Brother plzz correct the defination of simple group 🙏

MSCMATH-MohitKumar

G be finite group s.t o(G)=p^n. P.t any subgroup of order p^n is normal subgroup of G.
Plz sir isko smjha do

komalmalik

Group of order 108 is not simple|Lec-16|Group Theory|MathLOG

Group of order 108 is not simple|Lec-16|Group Theory|MathLOG

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