301.5I Cayley's Theorem for Finite Groups 

This Video is a Masterpiece of Clarity...

Mind blowing - finite groups are subgroups of Sn and can be represented as matrices. What an existence

Thanks a lot for these videos :) The amount of effort you have put into it is clearly visible. A small note: The two extreme right matrices should be swapped at instance 8:14.

Just excellent explanation

Mind blowing

Nobody has explained group theory in RU-vid better than u sir..... Thx.... By the way it's 1=( ) -1=(1 2)(3 4) i=(1 3 2 4) -i=(1 4 2 3).

Since every Group is nonempty, Every nonempty set can be first viewed as a copy of a subset of all bijections onto itself. Since ∀ n ≥ 1 n ≤ n!, We are trying to carry the Second Inequality over to Groups with these Cardinalities. ( G ≤ Perm (G) ) Since n always divides n! we still have to resist the temptation for a converse of Fermat Theorem, since n may not be a prime. Our Group of n elements can be buried deep anywhere within a huge Group of Size n!, requiring some finesse

Thank you guy who sounds like Ben Shapiro but who looks like Michael Carbonaro.

YOU ARE THE KING OF ABSTRACT ALGEBRA!