## #math - Fri 23 Mar 2007 between 14:12 and 14:33

### NY Lost Funds

 doserj and remove the break statementthen it gives you the "primes" starting from 1(ignoring the fact that 1 isn't a prime) rsa_md5 oops sorry..totally overlooked that factand thanks a lot for that help TRWBW Atraeyu: you can use mathbin too. if you want to you can steal the gif after it's been generated. qqex Let X be the space obtained by identifying two interior points of D^2 (i.e. X=D^2/(p~q)). find the fundamental group of X. delta Atraeyu, http://directory.fsf.org/htmlatex.html ? rsa_md5 doserj:yeah, now it works, but I dint remove the break statement anyways doserj you can leave the break statement, yes toed qqex: I don't understand what points are being identified qqex toed: any two interior points. delta qqex, it looks like S^1 to me. toed oh qqex if they were boundary points, i see what to do. it would be Z.i'm unsure about the "interior" part delta qqex, I'm seeing 2 cones over a S^1 base, with 2 pairs of points identified, the vertices and 1 point on each base circle. This seems homotopic to a circle. qqex i see an elongated hemisphere, pinched above the equator. perhaps delta yours is the same. _llll_ i think the space is a retract of the straight-line joining the two pointserr, or that one is a retract of it, rather delta qqex, out of curiosity, the question suggests 2 different answers depending on where the initial point are taken? eazyass how do i find the conjugacy classes of S3? TRWBW eazyass: start with the definitons qqex delta: i'm not sure that it does. the points only need be interior to the disk. it seems no matter how i look at, it's a circle. it could very well be... TRWBW eazyass: what the conjugacy relation? eazyass all elements b = x^-1*a*x for a,b, x elements of G TRWBW eazyass: and have you show that it's an equivalence relation? delta qqex, I'd retract X to the circle in a few steps. We can try and see if it makes any sens to you. eazyass it's given to us as one Syzygy- qqex: Identifying two interior points'll be homotopic to inserting a 1d handle connected to those points. TRWBW eazyass: um, that's not how it works _llll_ conjugacy in S_n is just the cycle type (rigth?) TRWBW eazyass: do you know the definition of an equivalence relation? you actually *prove* it_llll_: yes, but i don't think that's the most helpful thing here, seems like eazyass is just starting on this _llll_ huh?did i misunderstand the question, or did you? TRWBW _llll_ i figure they probably want him to do S3 by hand and then lead into proving the general case qqex syzygy: i follow you, though i don't know the significance of that. Syzygy- _llll_: Yeah, it is. And this is why you want Young diagrams when studying the symmetric groups. TRWBW _llll_: but that's just my opinion