2024年12月10日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

2014年1月17日 · Serge Lang's chapter on Galois theory is his Algebra text is something you should eventually cover after learning from a more elementary source (such as the ones I mentioned above). It covers more advanced topics and is …

2024年12月1日 · I am studying cryptography especially AES I am stuck at the Galois Field arithmetic. I understand what is the log and anti-log tables and how to use them. But to understand why the arithmetic is th...

2015年12月14日 · I was doing the same thing for a Galois Theory course today and I came up with the following solution: Considering the notation you've already used we can check that $\sigma_2 \circ \sigma_7 \neq \sigma_7 \circ \sigma_2$ since the first sends $\alpha$ to $\alpha \zeta$ and the second sends $\alpha$ to $\alpha \overline{\zeta}$ , therefore our ...

Galois group of an irreducible cubic polynomial without using the discriminant. 3. Characterisation of ...

2021年11月17日 · I'm pretty new to this field. I know there are $5!=120$ permutations of the roots. R. Borcherds defined the Galois Group as all the permutations preserving algebraic relations. I'm trying to recons...

2012年2月16日 · $\begingroup$ More advanced sources: 1) Topics in Galois theory of Serre, page 43 and 2) Inverse Galois Theory of Malle and Matzat, see the tables toward the end. $\endgroup$ – Lior B-S Commented Nov 7, 2012 at 12:13

2020年8月13日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

2009年12月1日 · Jay Pottharst wrote a short description: "In his famous Bourbaki talk, Deligne described a recipe for attaching -adic Galois representations to elliptic modular forms of integral weight at least 2. As a consequence of the method, one reduces the Ramanujan–Petersson conjecture to the validity of Weil’s Riemann Hypothesis for varieties over ...

2016年3月25日 · The upside to Hawking's book (whose title is part of a quote by Kronecker, by the way) is that you get much more than just Galois's three papers. There are original works of Euclid, Archimedes, Descartes, Riemann, Cantor, Dedekind, and quite a few more (ironically, no Kronecker from what I can see!).