Let K be a number field with unit rank at least four, containing a subfield M such that K/M is Galois of degree at least four. We show that the ring of integers of K is a Euclidean domain if and only ...

Les procédés usuels de réduction, et en particulier l'algorithme LLL, deviennent plus performants lorsqu'on les adapte à ces structures, Numerous important lattices (𝔻₄, 𝔼₈, the Coxeter-Todd lattice ...