This was a problem from an old qualifying exam, that I solved today, with a few pointers. First of all, is it reducible? It actually is. Note that . , as a prime element of that divides not must divide the polynomial, the Galois group of which we are looking for. The other factor of it corresponds to the multiplicative group of , which has elements. Seeing that it has elements of order and elements of order and is abelian, it must be . Thus, the answer is .
Galois group of x^10+x^5+1
点，你如果知道一个人的父母的姓氏，你就可以对他是北方人还是南方人有个有点统计显著 的估计。 读者可以在包含大姓分布图的…
Why I think Stanford professor James Landay's piece on computing in China in 2011 exposed his idiocy
I dittoed his blog post on my LiveJournal too, see https://gmachine1729.livejournal.com/175023.html. For the original, see…
Original at https://dubfuture.blogspot.com/2011/12/china-will-overtake-us-in.html. [note: the following is a rough draft — I appreciate…