Algebraic number theory MOC Logarithmic embedding Let be a number field with signature with real embeddings and representative unreal embeddings . The Logarithmic embedding is a group homomorphism defined by alg We call the unit lattice for , and its covolume is called the regulator. Properties The norm of an element is related to the sum of its image by where is the summation map. 2. , the group of roots of unity, by Kronecker’s root of unity lemma. develop | en | sembr