Normal basis theorem
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מספר מערכת
987007534876205171
Information for Authority record
Name (Hebrew)
משפט בסיס רגיל
Name (Latin)
Normal basis theorem
Other forms of name
Bases, Normal
Basis, Normal
Normal bases
Normal basis
See Also From tracing topical name
Finite fields (Algebra)
MARC
MARC
Other Identifiers
Wikidata:
Q3527199
Library of congress:
sh 96010613
Sources of Information
- Work cat.: 96-47923: Hachenberger, D. Finite fields : normal bases and completely free elements, 1997:CIP pref. (normal basis theorem: a classical result from field theory)
- Eisenreich. Mathematik(normal basis theorem; normal basis <of a Galois extension>)
- Encyc. dict. math.:p. 659, under Galois theory (normal basis theorem)
Wikipedia description:
In mathematics, specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any finite Galois extension of fields has a normal basis. In algebraic number theory, the study of the more refined question of the existence of a normal integral basis is part of Galois module theory.
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