Jun 4
the galois correspondence: each quotient group as you go down a subnormal series corresponds to the galois group as you go up a radical tower - related by the fixed field of the automorphisms that remain part of the subgroup
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the galois correspondence: each quotient group as you go down a subnormal series corresponds to the galois group as you go up a radical tower - related by the fixed field of the automorphisms that remain part of the subgroup
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..it is TOUGH to write about group theory
explained by a sixth form student
i've given it a shot. this is draft, it's nowhere near complete, but i can't shake the feeling that the tangibility of the post goes downhill as soon as i try to explain the group of automorphisms.
i don't know how else to present it, i'm thinking of making some low quality 2swapstyle gifs, but i'm ever conscious of spoon feeding "realisations" to the reader. also, the way i tried to fit in the toddler joke is clunky at best
giving up on finding Q-automorphisms of the splitting field of a higher degree polynomial as an example for my post 😭 i thought a couple more automorphisms would help demonstrate the Galois group better but i just ended up confusing myself more
gem from my next post
made the blog generator public, not that it does anything special, although it is a very neat static site generator in and of itself
the main benefit is that the way i have it set up now doesn't require github pro to keep it published on gh pages (since it clones from a separate private repo with all the posts when deploying), so it's no biggie if i lose my gh pro. my uni better still have it tho..
also, quick apologetic upd8 post is up! + some additions to group theory 101
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i've seriously been neglecting the shrublog i don't even know if i can call it a blog anymore, it's been a couple months since i last posted
a maths problem i liked - shrublog
first (?) shrublog is live!!
i really liked this question we got in class, a pretty straightforward application of Leibniz's product rule with a nice twist, so i decided to write it up as practice!!
i'd really appreciate any feedback on the style and clarity of my write up <3