1. Frobenius - Noun
2. Frobenius - Proper noun
Frobenius
A surname from German.
Frobenius
(mathematics) Used attributively to attribute a concept to the work of Ferdinand Georg Frobenius or more directly to associate it with the Frobenius endomorphism (commutative algebra, field theory) or Frobenius morphism (category theory).
However unlike the case of finite fields, the Frobenius automorphism on has infinite order, and it does not generate the full group of automorphisms of this field. Source: Internet
By Frobenius and Lefschetz the validity of this relation is equivalent with the embedding of (where is the lattice of the period matrix) in a projective space by means of theta functions. Source: Internet
The Galois group of every finite extension of a finite field is finite and cyclic, with an iterate of the Frobenius endomorphism as its generator. Source: Internet
That is, there are automorphisms of which are not a power of the Frobenius map. Source: Internet
The Power of Myth, Doubleday and Co., 1988, p. 117 Psychology and anthropology Anthropologist Leo Frobenius and his disciple Adolf Ellegard Jensen were important to Campbell's view of cultural history. Source: Internet