Question

find the remainder and quotient if p(x) is X3 -6x2+11x-6 by g(X) X2+X+1 using Euclid's lema or method​

Answer 1

Given a finite group G, is there a tamely ramified Galois extension K/Q with Gal(K/ Q) ... ℓ = 37 coincides with GL2 (Fℓ ), for all primes ℓ (see Example 5.5.6 of [77]). ... Besides, they can be paired in the following way: p−1 2 2 k x k and p−1 p−1 2 p −1 ... 19A3 of Cremona's Tables [18], given by the equation y 2 + y = x3 + x2 + x. ·