🙏🙏🙏 Mam in last theorem, In 23:09 a=(a^2)^m for some integer Then o(a) is less than 2m-1 But if m is negative integer then order of a is also negative then how it's possible because order is always positive
3:04 Mam here you told that H is a sub set of G , but you previously considered just a set H and not all elements of H may or may not belong to G because you considered G as atleast have one element a other than e but it doesn't tells anything about existence of any of a^n in G . Or am I missing something here..
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Excellent explanation 🔥 gazab ❤🔥
Better than any other UA-cam videos on group theory
🙏🙏🙏
Mam in last theorem, In 23:09
a=(a^2)^m for some integer
Then o(a) is less than 2m-1
But if m is negative integer then order of a is also negative then how it's possible because order is always positive
3:04 Mam here you told that H is a sub set of G , but you previously considered just a set H and not all elements of H may or may not belong to G because you considered G as atleast have one element a other than e but it doesn't tells anything about existence of any of a^n in G . Or am I missing something here..
Mam non trivial kya hota hai
💯💯💯
Mam o(H) < o(G)
Then H toh Identity group b ho sakhta hai na
And Identity ko hum trivial subgroup bolte hai yaa improper subgroup bolte hai
Aap plzz boliye kya H yahan Identity subgroup ho sakhte hai
Agar identity subgroup nahi ho sakhta toh kaise nahi hoga
@HdCyberClips Agar group mai sirf ek element hoga that is identity element Tab aap us group ko kya kahoge?
@HdCyberClips Kya yeh group nahi hai {e}
@HdCyberClips I'm not in university
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Namaste Mam 🙏
Which book you refer for all proofs in group theory & linear algebra
Here I have used jeevanson, but you can use Krishna publication.