Original works of great mathematician Évariste Galois
Galois explained that "rational" in his work would mean a quantity expressible in terms of (ordinary) rational numbers, the coefficients of a given equation, and "any other quantities that we have …
Where can I find Galois original paper? - Mathematics Stack Exchange
Mar 25, 2016 · As we all know Galois is an ultimate math prodigy. At age 17 or 18 he published a paper which we now know as Galois theory. I want to just see how he thought mathematics by seeing his …
reference request - What is the best book learn Galois Theory if I am ...
Any thoughts on David Cox's Galois Theory vs. Lang Undergraduate Algebra vs. Weintraub for an introduction to Galois Theory with aims to progress as Galois Theory -> Algebraic Number Theory -> …
The best source to study Galois theory for beginners
Sep 21, 2017 · I'm currently trying to read the six page proof Galois theory for beginners but it's proving to be harder than I thought. The author seems to expect the reader to make some underlaying …
Why is Galois correspondence intuitively plausible?
May 21, 2021 · The Galois correspondence is profound in number theory because it leads to a highly nonobvious way of turning prime ideals into field automorphisms (this uses Galois theory for number …
"Understanding" $\mathrm {Gal} (\bar {\mathbb {Q}}/\mathbb {Q})$
Dec 1, 2014 · However, the Galois group is an uncountable profinite group, and so to give any short description in terms of generators and relations leads you into subtle issues about which topology …
A good way to understand Galois covering?
Nov 29, 2012 · A good way to understand Galois covering? Ask Question Asked 13 years, 1 month ago Modified 11 years, 9 months ago
abstract algebra - How to find the Galois group of a polynomial ...
Jun 27, 2015 · I've been learning about Galois theory recently on my own, and I've been trying to solve tests from my university. Even though I understand all the theorems, I seem to be having some …
galois theory - Cyclic extensions - MathOverflow
May 14, 2010 · Hi. Are there nice/simple examples of cyclic extensions $L/K$ (that is, Galois extensions with cyclic Galois group) for which $L$ cannot be written as $K(a)$ with $a ...
Galois ring extension - Mathematics Stack Exchange
Nov 16, 2011 · Is there an analogous theory to Galois extension of fields for commutative rings? In particular, what does it mean for a ring extension to be Galois? Thanks.