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| | grossack.site
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| | Chris Grossack's math blog and professional website.
| | qchu.wordpress.com
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| | In Part I we discussed some conceptual proofs of the Sylow theorems. Two of those proofs involve reducing the existence of Sylow subgroups to the existence of Sylow subgroups of $latex S_n$ and $latex GL_n(\mathbb{F}_p)$ respectively. The goal of this post is to understand the Sylow $latex p$-subgroups of $latex GL_n(\mathbb{F}_p)$ in more detail and...
| | www.encyclopediaofmath.org
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| | www.inner-product.com
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| The core premise of functional programming, in my opinion, is that local reasoning and composition make for better code. Here I discuss what these terms mean and the benefits they bring.