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8h
reviewed Close what is the universal cover of GL(2,R)?
8h
reviewed Close Is this group given presentation isomorphic to $\mathbb{Z}_2$, and why?
8h
comment Is this group given presentation isomorphic to $\mathbb{Z}_2$, and why?
Given that this presentation simplifies very directly after the substitution $c=ab^-1$ and it is also amenable to computations via computer algebra systems (probably because this rewrite system is one of the first chosen by the computer), I don't see the research merit of this question. If the second question was distinct with random variables clearly defined, it would be appropriate for this site. I agree with previous statements that this question should be closed or migrated in its current form.
Apr
26
comment Adapting arguments and plagiarism
It can also be valuable for you to outline what parts are your argument are similar to arguments in the literature and what arguments are new. This not only served to give the originators of ideas proper credit, but also can help a reader understand the nooks and crannies of the new argument. Finally I believe this answer is meant to point out that your advisor might be best suited to help you answer these questions. That is certainly true, but remember it will be your name on the work. You have to be satisfied with how work is cited, in the same way you have to stand behind the math.
Apr
22
awarded  Custodian
Apr
22
reviewed Close Is injectivity of $2^{(\ldots)}$ weaker than $\mathsf{GCH}$?
Apr
20
answered Why do people study representations of 3-manifold groups into $SL(n,\mathbb{C})$?
Apr
12
answered Classification of symmetries of tilings in surfaces?
Apr
7
reviewed Reviewed How do you mentor undergraduate research?
Apr
6
comment What part is left unsolved in the Unknotting problem? (after results of Bar-Natan, Khovanov, Kronheimer and Mrowka)
Marc Lackenby has announced a proof that this problem is in co-NP independent of GRH. Marc Lackenby - The efficient certification of knottedness and Thurston norm - arxiv.org/abs/1604.00290
Apr
4
revised Rings with a property similar to integral domains
cleaned up the grammar, and made the main question a little more clear.
Apr
4
comment Images of the $3$-dimensional solvable geometry
Presumably you are looking for something along the lines of the ideas and intuition described here (by Thurston): youtu.be/4jdmkUQDWtQ?t=1452 but with the slickness of "Not Knot"?
Mar
23
comment Fibered knots vs Heegaard genus
There are some complications for this problem when considering knots in lens spaces, since every lens space admits a genus 0 fibered knot, the standard unknot. However, excluding knots of this type (say by placing restrictions a homotopy or homology class of the knot) would be a natural place to look for the type of simpler examples of knots in lens spaces you mention. Alternatively, perhaps one could consider small Seifert fibered spaces as a means of avoiding the unknot surgeries?
Mar
21
comment Fibered knots vs Heegaard genus
I am confused by your setup here. If $M\cong S^3$, then can't we just choose a sequence of fibered knots of increasing and unbounded genus to answer your first question positively?
Mar
21
reviewed Approve Neat definition of Harris Ergodicity
Mar
21
answered obtaining circle bundle over torus by trefoil surgery
Mar
18
comment For an arithmetic hyperbolic 3-manifold group, when is its trace field not its invariant trace field?
You might want to look at m037 which is non-arithmetic and has trace field smaller than cusp field.
Mar
18
revised For an arithmetic hyperbolic 3-manifold group, when is its trace field not its invariant trace field?
Made my field notation more consistent, updated to include a cusped example.
Mar
18
answered For an arithmetic hyperbolic 3-manifold group, when is its trace field not its invariant trace field?
Mar
14
answered How many quadratic fields occur as trace fields of hyperbolic knot complements?