ON CUBIC RINGS AND QUATERNION RINGS In this paper, we
... over R. Finally, we insist that the characteristic polynomial of left multiplication by α on A is equal to fα (x)2 . We will show that the isomorphism classes of quaternion rings over R correspond bijectively to the orbits of the group GL3 (R) acting on a free R-module M of rank 6. The action is fai ...
... over R. Finally, we insist that the characteristic polynomial of left multiplication by α on A is equal to fα (x)2 . We will show that the isomorphism classes of quaternion rings over R correspond bijectively to the orbits of the group GL3 (R) acting on a free R-module M of rank 6. The action is fai ...
18. Cyclotomic polynomials II
... modulo p of polynomials as long as we are clear what we’re doing.) A critical point is that since f is monic both g and h can be taken to be monic also (multiplying by −1 if necessary), since the highestdegree coefficient of a product is simply the product of the highest-degree coefficients of the f ...
... modulo p of polynomials as long as we are clear what we’re doing.) A critical point is that since f is monic both g and h can be taken to be monic also (multiplying by −1 if necessary), since the highestdegree coefficient of a product is simply the product of the highest-degree coefficients of the f ...