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ErdosNinth
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A blog about math
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ErdosNinth
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raw text
ErdosNinth – A blog about math Skip to content Menu About List of blog posts ErdosNinth A blog about math Written by Sanath Devalapurkar December 14, 2016 December 14, 2016 FP on simplicial groups It’s a good exercise to create fun problems (FPs). Here’s one: Show that every simplicial group is a Kan complex. In case you aren’t familiar with the terminology, let me explain. A simplicial group is a functor where is the simplex category. A Kan complex is a simplial set (i.e., a functor such that for any […] Written by Sanath Devalapurkar December 14, 2016 December 14, 2016 A solution to the fun question in the last post Recall the question: Show that and are irreducible over , but reducible in . First we try the standard methods; the rational root test shows that there aren’t any rational roots. Also, you can’t use Eisenstein here. So we’ll resort to Galois theory :o) The polynomial is the polynomial in the case , , and […] Written by Sanath Deval...
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