## The Klein Four- Finite Simple Group

(of order two)

If I were somehow forced to write a song to woo a young math lady this is what it would be like.

Yes I know I’m a math nerd, but did YOU get all the maths jokes.

In case you really want to know, the lyrics are here too…

The path of love is never smooth But mine's continuous for you You're the upper bound in the chains of my heart You're my Axiom of Choice, you know it's true But lately our relation's not so well-defined And I just can't function without you I'll prove my proposition and I'm sure you'll find We're a finite simple group of order two I'm losing my identity I'm getting tensor every day And without loss of generality I will assume that you feel the same way Since every time I see you, you just quotient out The faithful image that I map into But when we're one-to-one you'll see what I'm about 'Cause we're a finite simple group of order two Our equivalence was stable, A principal love bundle sitting deep inside But then you drove a wedge between our two-forms Now everything is so complexified When we first met, we simply connected My heart was open but too dense Our system was already directed To have a finite limit, in some sense I'm living in the kernel of a rank-one map From my domain, its image looks so blue, 'Cause all I see are zeroes, it's a cruel trap But we're a finite simple group of order two I'm not the smoothest operator in my class, But we're a mirror pair, me and you, So let's apply forgetful functors to the past And be a finite simple group, a finite simple group, Let's be a finite simple group of order two (Oughter: "Why not three?") I've proved my proposition now, as you can see, So let's both be associative and free And by corollary, this shows you and I to be Purely inseparable. Q. E. D.

Its possibly the most awesome math based love song I’ve hear all morning.

If you want, you can even download it. Isn’t that nice.

Finite Simple Group (or order two) – The Klein Four Group