00:11 Sylow's theorem is important for competitive exams and includes three theorems 00:59 Sylow's First Theorem: Group has at least one subgroup with order equal to a prime number 03:09 Sylow's theorem explains the existence of subgroups in a group based on prime orders 04:48 Sylow's first theorem can be proven by induction 05:36 Sylow First Theorem states that any group has at least one subgroup whose order is a prime power. 06:33 Prime number divides order of G implies there exists an element 08:16 The Sylow First Theorem explains the existence of normal subgroups in a group. 10:58 Sylow's First Theorem states that a group with prime power as a divisor of its order will have at least one subgroup of prime power order.
10:27 sir par theorem me to bola Gaya h ki p^m se divisible hoga to p^m+1 se divisible nahi hoga ppane p^m-1 liya h jabki wo p^m se bhi divisible h ..... Kese sir please explain
I think some corrections are needed in slides at 9:39 and 9:59 : O(H) = p , so when p^m divides O(G) and you re-write O(G) as O(G)/O(H)*O(H) , this means p^m divides O(G)/O(H)*p => p^(m-1) divides O(G)/O(H) => p^(m-1) divides order O(G/H) of quotient group G/H
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Sir in this proof in place of N(a) [Normalizer of a] you should use C(a)[centralizer of a] because normalizer is defined for a subgroup not for an You are an outstanding teacher ❤❤❤❤
Hello sir... Sir tgt/pgt k liye group theory k kon kon se topic study KRna chahiye... Pls suggest kr dijiye... Apke channel se prepration kr rhe h... 🙏
Sir mera ek problem he csir net june 14 plz solve kar dije . Let G be denote the group of all the automorphism of the field F3^100 that consists of 3^100 elements. Then the number of distinct subgroups of G is equal
00:11 Sylow's theorem is important for competitive exams and includes three theorems
00:59 Sylow's First Theorem: Group has at least one subgroup with order equal to a prime number
03:09 Sylow's theorem explains the existence of subgroups in a group based on prime orders
04:48 Sylow's first theorem can be proven by induction
05:36 Sylow First Theorem states that any group has at least one subgroup whose order is a prime power.
06:33 Prime number divides order of G implies there exists an element
08:16 The Sylow First Theorem explains the existence of normal subgroups in a group.
10:58 Sylow's First Theorem states that a group with prime power as a divisor of its order will have at least one subgroup of prime power order.
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Bhai slow mai dekh lea kar .....
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10:27 sir par theorem me to bola Gaya h ki p^m se divisible hoga to p^m+1 se divisible nahi hoga ppane p^m-1 liya h jabki wo p^m se bhi divisible h ..... Kese sir please explain
Thank you sir ❤❤❤
thanks for continuesly uploading videos
Nice explanation on First Sylow's theorem Sir.
Sir Sab samajh me aagaya
Kaise bro
Mujhe to kuch samajh nahi aaya 😢😢😢
I think some corrections are needed in slides at 9:39 and 9:59 : O(H) = p , so when p^m divides O(G) and you re-write O(G) as O(G)/O(H)*O(H) , this means p^m divides O(G)/O(H)*p => p^(m-1) divides O(G)/O(H) => p^(m-1) divides order O(G/H) of quotient group G/H
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Ur video was really helpful sir thank you
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Aap kaha se ho . Kya aap bhi self study kar rahe ho ?
Thanks sir, great method of teaching
Assalam-o-alaikum
Best method of teaching 💞💞💞💞
May Allah bless you with the good health ameeeeeeeeen
May Allah succeeded us In every field of life here and here after ameeeeeeeeen
Amazing teaching method😍😍😍
Assalamualaikum sir you are amazing I just suggest that k Jo theorem ap prove karwate he agr description me us ki pdf share kr de tw or asani ho jae gi ♥️
Very helpful sir thanku so much
Thank you so much sir ❤️
Thanks sir it's really helpful...💯💯
Sir please jorden holder theorem kara do
Fantastic sir ji
Thank you so much sir for making videos in easy way .🙂
Nice explanation Sir
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Super sir. Thank you.
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Sir aap plzz Jordan holder theorem and zassenhaus lemma k proof bhi karwa do plzz😔
Very nice sir!
Sir in this proof in place of N(a) [Normalizer of a] you should use C(a)[centralizer of a] because normalizer is defined for a subgroup not for an
You are an outstanding teacher ❤❤❤❤
Really helpful video
Excellent 👍 Sir love from Pakistan
Always mst video dalte ho
Cauchy theorem bhi kra do
Thanks sir ji
V nice explain and helpfully video sir
Please sir,Sylow's I and II theorem proof par videos banaeye.
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U have done absolutely remarkable work
Group action par jaldi se videos sir.
Exam ke liye please sir
Sir plz continue metric space
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tqq sir❤
One of the best teacher of south asia .
Sir ,
topic ko khtm krne ki kosis mt kiya karo sir ,
Ek topix ko axe se pdao sir taaki sb clear ho jaye,
Tb Aap or axaa pda skte he sir👏👏
thanks
Thquhh sir...u r the best teacher👍❤️
Sir cauchy's theorem ka proof video Kahan mile ga
Sir msc maths ka course suru kijiye.
Hello sir... Sir tgt/pgt k liye group theory k kon kon se topic study KRna chahiye... Pls suggest kr dijiye... Apke channel se prepration kr rhe h... 🙏
Sir make videos on cauchys theorm for abelian groups
Group theory ka syllabus or b h kya Sir
Mjaa aa gya nice 🙂
Sir Jordan holder theorem bhi kra dijiye
S3 Kia ha sir
I'm from pak
I like ur vedioes
Achi samajh ati boht detail MA btaty hn
Sir g my name Zubair I belong Pakistan your Group theory videos very nice and helpful for me
Thanku sir
Sir aapka prewar hmesa khus rhe
Sir bsc level 2D& 3D.... ka lecture Aap ke chinal pr nahi h.....
sir why induction is a hypothesis?
As we use it everywhere.
Is it because of its axiomatic nature ?
Sir agr ring theory ke sare lectures apne complete pda diye hein to uski ek alg playlist bna dijiye🙏
It's small request
Sir cauchy's theorem pe bhi video bna dijiye
Sir in sylow first theorem statemenr p ki power n+1 doesn't divide O(G) will not use
nice sir
Osm sir
Sir please upload a video of cauchy theorem for finite abelian group and Fermat's little theorem
Sir g factor group of a nilpotent group is nilpotent theorem bi krwa do sir please
sir plz burnside lemma in group theory
Sir, please moment of inertia ,product of inertia, motion of rigid body ke upar video dijiye
Sir ap, external direct product and Internal direct product ke upor video boniy .🙏🙏🙏🙏🙏
Khud hi bol liya aur khud hi samajh bhi liya sir ne😅
Sir in Sylow first theorem there is also a role of normal subgroup. But you are not discussing it
Sir mera ek problem he csir net june 14 plz solve kar dije . Let G be denote the group of all the automorphism of the field F3^100 that consists of 3^100 elements. Then the number of distinct subgroups of G is equal
Vector analytical geometry bsc 1st year of videos upload sir
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Bhai apke pass zada paisa he kia
Sir to free me class de rahe he
Apko kia chinta
When our exam is near, we are here😮
I have also UA-cam channel about mathematics,
I like your method dear sir
Sir analytical geometry pls sir
At 1.12
Kindly check.
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Soo tuff .....,🙄
Lgta hai Corona ne to mere samjhne ki capacity hiii km kar di hai😞
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Sir real analysis pe phir she video ban a yea
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sir can you pls provide sylow 1st theorem proof pdf without induction method 🥺🥺🥺🥺🥺
Prove that for any group G, |G/Z(G)|≠91
Sir notes Hindi me provide krne ki help krenge😅
Sir kya bol gye itti jldii kuch ni aaya smj
❤️🔥🔥
𝗦𝗶𝗿 𝗽𝗹𝗲𝗮𝘀𝗲 𝗺𝗮𝗸𝗲 𝘃𝗶𝗱𝗲𝗼𝘀 𝗼𝗻 𝗻𝘂𝗺𝗯𝗲𝗿 𝘁𝗵𝗲𝗼𝗿𝘆.
Sir sirf pdf padh kar video bana dena esko padhana nahi bolte
😍😍😍😍😍
Aap padha nhi rahe hai aap read kar rahe hai
Jo pahli baar padh raha hai usko kabhi nhi samajh aa sakta hai
⭐⭐⭐⭐⭐
Pagal master hai bhai itna tej bol rahe hai
Thank you sir. Very helpful
Thanks a lot sir