Tom De Medts
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Registered User
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I am a professor at Ghent University (Belgium). My main research interest is the study of (not necessarily associative) algebras and their connections with other areas, such as group theory and incidence geometry.
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14h |
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Name of operations on two vectors It's not unlikely that this comes up in tropical geometry (en.wikipedia.org/wiki/Tropical_geometry), where the "product" is the original addition. |
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May 29 |
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Proving that every term of the sequence is an integer @Barry: I've checked the first $400 \times 400$ entries by computer, and they are all integers. |
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May 29 |
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Proving that every term of the sequence is an integer (By the way, it's also a little bit confusing that you interchanged rows and columns.) |
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May 29 |
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Proving that every term of the sequence is an integer @MHMertens: Unfortunately, you did make a calculation mistake. The row $1, 4, 39/2, \dots$ should be $1, 5, 21, 91, \dots$. |
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May 27 |
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Can repunits be perfect cubes? added 35 characters in body; edited title |
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May 27 |
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Can repunits be perfect cubes? @Barry: This elementary method doesn't work. In fact, it's not too hard to see that for every positive integer $d$, there exists an integer whose cube ends in at least $d$ digits $1$. (And this number is unique modulo $10^{d+1}$.) |
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May 27 |
accepted | Example of a finite group |
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May 27 |
answered | Example of a finite group |
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May 22 |
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Computational Ring Theory Or have a look at Sage on sagemath.org. |
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May 7 |
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Is Hasse-witt map isomorphism? improved formatting |
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May 3 |
answered | The prime number $2$ |
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Mar 29 |
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P-group with abelian centralzer added 1173 characters in body |
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Mar 29 |
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P-group with abelian centralzer @Steve: I am tempted to believe that $C_{p^n} \wr C_p$ might work in general... |
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Mar 29 |
answered | P-group with abelian centralzer |
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Mar 29 |
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P-group with abelian centralzer Do you want such a family for each possible prime $p$, or are you happy with an infinite family for, let's say, $p=2$? |
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Mar 13 |
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Simple groups analogous to fields I agree with Todd. The main observation here is that simple commutative groups and simple commutative rings become rather boring objects (from the point of view of group theory and ring theory, respectively), but simple groups and simple rings (non-commutative ones) are very interesting. |
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Mar 13 |
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Name for ideal generated by Lie subalgebra I think I would just say "the ideal generated by $\mathfrak{m}$". |
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Feb 9 |
awarded | ● Yearling |
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Feb 5 |
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Skew fields inside quaternion division algebras @Aakumadula: Thanks for your answer! The fact that $(xy - yx)^2$ is a central element is a nice observation. Two questions/comments though: (1) I assume you mean $\deg(D) \geq 3$ instead of $\dim(D) \geq 3$ (where the degree is the square root of the dimension)? (2) I am not assuming $D$ to be finite-dimensional over its center, and the Zariski density argument seems to fail in the infinite-dimensional case. |
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Feb 5 |
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Skew fields inside quaternion division algebras @Filippo: I use "division algebra" for "skew field which is finite-dimensional over its center". |
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Feb 5 |
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Skew fields inside quaternion division algebras @Dmitry and Filippo: Indeed, I am not assuming that $D$ is a $k$-algebra (otherwise the result is rather obvious for dimension reasons). |
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Feb 4 |
asked | Skew fields inside quaternion division algebras |
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Feb 1 |
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Is there any need to study Coxeter systems (W,S) with S infinite? I'm not sure whether it answers your question, but Koji Nuida has done quite a bit of research about infinite rank Coxeter groups: www2u.biglobe.ne.jp/~nuida/m/works_e.htm , in particular in his PhD thesis www2u.biglobe.ne.jp/~nuida/m/thesis_text.dvi . |
