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Dec
9
awarded  Caucus
Dec
5
comment “The Egg:” Bizarre behavior of the roots of a family of polynomials.
@user45195 Yeah, you can sort the questions list by votes. This question isn't #1, but it's on the first page (ranked 15th I think?). It's among the highest non-"soft" questions, depending on what one counts as as "soft."
Nov
28
answered Surjections from free groups
Nov
27
comment What kind of studies are this?
You can ask him, by the way, it has his name: Simon Plouffe. He's a mathematician, website is here.
Nov
27
comment What kind of studies are this?
@user2485710 Honestly they're probably just made to look cool. Maybe the author was just being exploratory and seeing if he could find something interesting to prove.
Nov
27
revised What kind of studies are this?
deleted 16 characters in body
Nov
27
comment What kind of studies are this?
@user2485710 No, it would be $\{0,\ldots , n-1\}$ arranged in a circle (or in the second case, the sampling of points from $[0,1)$ arranged in a circle).
Nov
27
answered What kind of studies are this?
Nov
27
comment Field at which $f(x)$ splits
@MaryStar It sure is bud!
Nov
27
answered Field at which $f(x)$ splits
Nov
26
awarded  Good Question
Nov
22
awarded  Enlightened
Nov
22
awarded  Nice Answer
Nov
21
awarded  Nice Answer
Nov
21
asked Relating maximal elements of downsets to minimal elements of the complement
Nov
20
revised A more swift method for Conjugation Classes
added 18 characters in body
Nov
20
answered A more swift method for Conjugation Classes
Nov
20
comment Does a four-variable analog of the Hall-Witt identity exist?
@GrigoryM So I've read the paper in that link a couple times, and I'm still having trouble sorting it out. I guess I just don't speak topologist real good. My hope for this question, I suppose, is to find a simpler, alternative proof, especially considering that what he proved seems stronger than what I was looking for at first.
Nov
20
comment Does a four-variable analog of the Hall-Witt identity exist?
I must add, your proof at the end is excellent, precisely what I was limply flailing at in my progress, yet stated (and proved) much more cleanly. Very slick. Thank you for this.
Nov
20
comment Does a four-variable analog of the Hall-Witt identity exist?
Am I far wrong in supposing that in fact you had some such additional conditions in mind when you formulated your question? You are not wrong! Your conditions are indeed what I had in mind. The reason I (rather conspicuously) omitted them from the OP is that I was still uncertain of this choice. $n=2$ only uses commutators, then we add in conjugations for $n=3$, so, maybe there was some natural thing to add for $n=4$. My hope was that, by exploring the question, I could nail down the condition precisely, either finding some other operation(s), or convincing myself that none should be there.