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2d

comment 
lattice in number field already a fractional ideal?
You are specifying $f$ at all $x_i\cdot x_j$ which is more than $n$ in number, exceeding the degree of $K$; how can you guarantee such a linear map exists? 
2d

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Variations to Cayley's Embedding Theorem for Groups
@ Derek Holt: Your second paragraph is the interpretation I had in my mind. But the Weyl groups $N(T)/T$ are not subgroups of Lie groups, Only the group $N(T)$ is a subgroup of $G$. Can you clarify? 
2d

asked  Variations to Cayley's Embedding Theorem for Groups 
2d

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Advice for number theory library
I have heard that L.E. Dickson's centuryold work History of the Theory of Numbers in three volumes is a great work. According to Wikepedia this totals to 1600+ pages. 
Apr 13 
awarded  Yearling 
Apr 13 
comment 
Secant Lines contained in Hypersurfaces
+1 for a clear answer. 
Apr 12 
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Is the big cell a principal open set?
Is this an intrinsic property? Does not it depend on how the affine algebraic group is realized as a linear algebraic group? 
Apr 12 
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How can I solve a cubic equation in a finite field with characteristic 2?
Nice idea; it is amazing that linear algebra can be exploited to solve a cubic equation. Are there any similar tricks in other characteristics , especially 0? 
Apr 10 
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Quotient of product of curves
Somewhat tangential: see the work of Guralnick on Beauville structure about obtaining smooth projective surfaces as a quotient by finite group action on product of curves. One link is arxiv.org/abs/1009.6183 
Apr 4 
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Counting solutions modulo primes
Sorry, if I sound dumb. What is the meaning of "up to $x$"? As $x$ is a symbolic variable, and this upto $x$ sounds like bounded above by $x$, I am confused. 
Mar 29 
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If y forms Pythagorean triples with two different x, can some other y also form Pythagorean triples with those two x?
Under that interpretation my answer gives nothing. 
Mar 28 
answered  If y forms Pythagorean triples with two different x, can some other y also form Pythagorean triples with those two x? 
Mar 28 
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Non existence of cyclic infinite linear algebraic groups
Defintely $\mathbf{G}_a$ and $\mathbf{G}_m$ do not have finitely generated subgroup as its $\mathbf{Q}$points, for get cyclicity. Is there any clue in exponential mapping ? 
Mar 27 
answered  Where in mathematics do these polynomials appear? 
Mar 26 
awarded  Necromancer 
Mar 26 
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What is the name for the type of matrices?
Please add at least one $2\times 2$ example to help us. 
Mar 26 
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Isometric embedding of SO(3) into an euclidean space
I see your objection. If we banish $\theta=0$ the remaining part should be topologically a nonmonster, and can the whole thing be regarded as onepoint compactification of that thing? Assuming there is a connection between minimal embedding dimensions of a manifold and its onepoint compactification this might be useful. Is this approach worthwhile? 
Mar 25 
answered  Structures that turn out to exhibit a symmetry even though their definition doesn't 
Mar 25 
comment 
Isometric embedding of SO(3) into an euclidean space
@ Ben: Not sure I understand. Why should it be $S^2$? For a unit vector $v\in \mathbf{R}^3$ and $\theta\in [0,2\pi)$ is not the 3drotation corresponding to the pair $(v,\theta)$ the same as that for $(v,\theta)$? I guess it should be $\mathbf{RP}^2$. 
Mar 25 
answered  Isometric embedding of SO(3) into an euclidean space 