Freedom Math Dance
A blog about math (mainly), computer tricks (sometimes) and jazz music.
Thursday, July 6, 2023
Electrostatics and rationality of power series
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I would like to tell here a story that runs over some 150 years of mathematics, around the following question: given a power series $\sum a_...
Friday, February 17, 2023
Associated prime ideals
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$\gdef\ann{\mathop{\mathrm{ann}}} \gdef\Ass{\mathop{\mathrm{Ass}}}\gdef\Spec{\mathop{\mathrm{Spec}}}$ I would like to go back to a quite del...
Sunday, January 1, 2023
The Klein group, the centralizer of a permutation, and its relation with the alternating group
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The following reflexion came out of my irrepressible need to understand why the 3 double transpositions in $\mathfrak S_4$, together with th...
2 comments :
Monday, December 12, 2022
Multiplicative square roots
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I will just discuss briefly the first section of a paper by William Waterhouse (2012), “ Square Root as a Homomorphism ” ( American Mat...
Tuesday, November 1, 2022
#Mathober2022
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Sophia Wood (@fractalkitty) had the good idea to set up a #Mathober project: for each day of october, she proposes you to react to one word ...
Tuesday, September 13, 2022
Yet another post on simplicity
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I see that I finally arrive to an end of my journey in formalizing in Lean the simplicity of the alternating group in 5 letters or more, so ...
1 comment :
Tuesday, December 21, 2021
The very simple proof that the alternating group on 5 letters (or more) is simple
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\( \def\supp {\operatorname{supp}} \) As explained in the previous post, I wanted to formalize the proof that the alternating group on 5 let...
1 comment :
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