bio | website | |
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location | Chennai, India | |
age | ||
visits | member for | 2 years, 7 months |
seen | 16 hours ago | |
stats | profile views | 505 |
Aug 21 |
comment |
Rational points on a sphere in $\mathbb{R}^d$
If the radius $r$ is an integer express it as a sum of squares $r= \sum_{i=1}^k x_i^2 $ with $1\leq k \leq 4$. If the ambient dimension is $d$ then we can find ${d\choose k}$ integer points from the above expression and they should be affinely independent as required in Misha's comment above. |
Jul 8 |
comment |
Subgroup property stronger than being characteristic
Thanks. I learnt something new and interesting today. |
Jul 8 |
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Variations to Cayley's Embedding Theorem for Groups
@ David: I checked that link and learnt something very much interesting and explained beautifully. Thanks. |
Jul 6 |
comment |
Conjecture on irrational algebraic numbers
I did not know this was transcendental. Then this answers 3rd part of the question by OP. Thanks, Douglas Zare for such a detailed information and pointing out the reference. But I am still not able to figure out how to see that given number is the sum of the series you have described, also not able to see the connection to the Theta function paper you have cited. I'll think about it. |
Jul 6 |
answered | Conjecture on irrational algebraic numbers |
Jul 4 |
awarded | Good Question |
Jul 2 |
awarded | Curious |
May 4 |
revised |
Groups like symmetric group
Typos: "eith" --> "with" and plural for property. |
May 4 |
suggested | suggested edit on Groups like symmetric group |
Apr 25 |
awarded | Informed |
Apr 24 |
comment |
Which finite groups can be characterized by their subgroup orders?
How do you handle it when there are many suggroups of the same order. If you discount multiplicity the two groups of order 4 will have the same 'horoscope'. |
Apr 21 |
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Variations to Cayley's Embedding Theorem for Groups
If you can provide me the clarification about embedding Weyl groups of a Lie group in the Lie group itself I'd accept your answer. |
Apr 17 |
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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? |
Apr 17 |
comment |
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? |
Apr 17 |
asked | Variations to Cayley's Embedding Theorem for Groups |
Apr 17 |
comment |
Advice for number theory library
I have heard that L.E. Dickson's century-old 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 |
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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 |
comment |
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? |