/sci/ - Science & Math

[Anonymous No.1167211]

fucking projective special linear groups, how do they work?

[Anonymous No.1167220]

It's the quotient of the special linear group modulo the scalar matrices with determinant 1.

[Anonymous No.1167238]

Now, the scalar matrices with determinant 1 form the center of the SL(n, F). (F is any field.)
Can one construct a homomorphism such that the center is the kernel of that homomorphism?

[Anonymous No.1167269]

The homomorphism mapping a matrix A to the inner automorphism of the SL(n,F) induced by conjugation with A has as a kernel the center.

So the projective special linear group is isomorphic to the inner automorphisms of SL(n,F).

[Anonymous No.1167288]

/sci/ delivers

[Anonymous No.1167310]

>>1167269
*the kernel

Hm, but that still doesn't really tell us how the projective special linear groups look like.

[Anonymous No.1167331]

>>1167288
nope, /sci/ most certainly didn't deliver. It's just me, the OP, soliloquizing on this shit board (/sci/) within a shit board (4chan).

[Anonymous No.1167404]

archive.numdam.org/article/RSMUP_1986__76__207_0.pdf

How can you guys believe in projective linear groups if it's only a theory (a geuss ) ?

[Anonymous No.1167421]

www4.ncsu.edu/~loek/research/sln.pdf

projective special linear groups don't exist, prove me wrong.

[Anonymous No.1167437]

If projective special linear groups exist, then how come my penis smells like catnip?
checkmate.

[Anonymous No.1167454]

Perhaps I'm being to firm with you retards, let's make it a tad easier.
I'll rephrase my initial inquire, restating it as follows:

"fucking projective special linear groups over fields with characteristic 0, how do they work?"

It satisfies me to know that 99% of all people who see this thread won't even be able to tell what I'm talking about after reading >10 wikipedia articles.

[Anonymous No.1167468]

>>1167454
It satisfies me to know that you did not make this thread to have a productive discussion, but to boast about your newfound knowledge.

[Anonymous No.1167473]

>>1167454
WAIT JUST A SECOND, why should characteristic 0 be easier? I mean with char 0 we don't have finite groups anymoar. Which displeases Harald Schammidt (he is a Norwegian rapper).

[Anonymous No.1167486]

>>1167468
the fact that you think I have any "knowledge" in the stuff I'm talking about clearly shows to anyone who isn't a 12 year old fucktard (like you), that you are in fact a 12 year old fucktard.

All I gave was some trivial facts. But you wouldn't notice that, haha.

[Anonymous No.1167498]

nobody gives a shit that you just read about some mathematics you could never have come up with independently even given a million years.

[Anonymous No.1167502]

>>1167486
that post was made modulo grammar. And this one modulo humor.

[Anonymous No.1167514]

>>1167498
Alright, here we go. The fucktards are circling. Another idiot who thinks I have said anything nontrivial in this thread, haha, awesome.

I require more, don't stop.

[Anonymous No.1167575]

I suppose /sci/ is not ready for this yet.
You have a lot of growing up to do, people.

future <span class="math">\in[/spoiler] {shitstorm, 404}.

[Anonymous No.1167690]

>Prove God doesn't exist
>62 posts and 18 image replies omitted. Click Reply to view.

[Anonymous No.1167694]

you accidentally the whole projective line you say?

[Anonymous No.1167700]

>could you make dehydrated water?
>26 posts and 2 image replies omitted. Click Reply to view.

[Anonymous No.1167732]

HEY YOU GUYS LETS PLAY CHESS AND DISCUSS RELIGION.
I'LL MAKE THE FIRST MOVE:
1. d7
checkmate. oh, my shift key released, finally.

[Anonymous No.1167801]

Yes, what ABOUT niggers?

[Anonymous No.1167849]

projective special linear groups are just applied logic. Obviously philosophers are god tier.
discuss.

[Anonymous No.1167882]

hay OP, is the internet serious business?

cause you're a fucking retard

[Anonymous No.1167957]

/sci/ is dead people

[Anonymous No.1167979]

the butthurtening

[Anonymous No.1168049]

>>1167979
>>1167957
>>1167882
yall niggers posting in a projective special linear group thread.

[Anonymous No.1168107]

i only know them in the context of mobius transformations

[Anonymous No.1168110]

>>1167207
www.anomtalk.se but with n instead of m near the middle fd4ae4416ac5db310618f60961e5c890 34813

[Anonymous No.1168129]

but if, then how come?
atheists 1
buddhists 2

[Anonymous No.1168309]

That has never occurred to me. Carry on.

[Anonymous No.1168465]

Fooooootballlllll