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Frobenius is an English word. Below you'll find 5 example sentences showing how it's used in practice.

Rare word

Frobenius in a sentence

Frobenius meaning

A surname from German.

Using Frobenius

  • The main meaning on this page is: A surname from German.
  • In the example corpus, frobenius often appears in combinations such as: the frobenius, frobenius and.

Context around Frobenius

  • Average sentence length in these examples: 26 words
  • Position in the sentence: 1 start, 2 middle, 2 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Often before:

leo 1×

Often after:

automorphism 1× map 1× endomorphism 1×

Sentence patterns with Frobenius

These short patterns come directly from the example sentences and show how the word is often embedded:

anthropologist leo frobenius and his 1× by frobenius and lefschetz 1× fields the frobenius automorphism on 1× of the frobenius endomorphism as 1× of the frobenius map 1×

Sentence openings and endings

Common sentence openings:

by frobenius and 1× however unlike the 1× the galois group 1× the power of 1×

Common sentence endings:

as its generator 1× of cultural history 1× of theta functions 1× of this field 1× the frobenius map 1×

Words around Frobenius

Just before it in the word index:

froben 2 frobaw 2 froakie 2 fro 81 frnsw 6 frn 5

Just after it in the word index:

frobisher 8 frobozzco 2 froc 3 frocester 2 froch 7 frock 51

Similar in corpus frequency:

aaas 7 aacc 7 aacs 7 aafes 7 aah 7 aankh 7

Corpus analysis for Frobenius

  • In this selection, "frobenius" usually appears in the middle of the sentence. The average example has 26 words, and this corpus slice is mostly made up of statements.
  • Around the word, leo, automorphism, map and endomorphism stand out and add context to how "frobenius" is used.
  • Recognizable usage signals include anthropologist leo frobenius and his and by frobenius and lefschetz. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "frobenius" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with frobenius

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

That is, there are automorphisms of which are not a power of the Frobenius map. (15 words)

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. (25 words)

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. (27 words)

Longer example sentences

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. (32 words)

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. (31 words)

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. (27 words)

Example sentences (5)

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.

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.

That is, there are automorphisms of which are not a power of the Frobenius map.

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.

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.

Common combinations with frobenius

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "frobenius" in a sentence?
An example: "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." This page contains 5 example sentences with the word "frobenius" from authentic English texts.
What does "frobenius" mean?
Frobenius means: A surname from German.
How many example sentences with "frobenius" are there?
Voorbeeldzinnen.info contains 5 example sentences with "frobenius", drawn from a database of millions of English sentences.