fixed field

noun

A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field.

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Meanings

nounfixed field (plural fixed fields)

plural fixed fields

  1. Galois theoryalgebraA subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field.
Cite this entry
APA

fixed field. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/fixed%20field

MLA

“fixed field.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/fixed%20field. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “fixed field,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/fixed%20field.

Source: fixed field on Wiktionary, CC BY-SA 4.0.