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Witt group

In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the field.

Ring structure, Definition & Examples

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Overview

Definition

Ring structure

Examples

Invariants

Witt ring of a local field

Witt ring of a number field

Witt ring and Milnor's K-theory

Grothendieck–Witt ring

Grothendieck–Witt ring and motivic stable homotopy groups of spheres

Generalizations

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Map overview Semantic statistics

Witt group

Nodes101
Edges100
Triples31
Avg. degree1.98
Density0.019802
Components1

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Witt group

Top relations

related to Further reading · 12
Witt group → Balmer, Eric, Grayson, Handbook, In Friedlander, ISBN, K-theory, Paul, Springer-Verlag, Vol, Witt, Zbl
related to Definition · 9
Witt group → All, Although, Each, Fix, It, The Witt, Two, Witt, Z/2Z
related to Generalizations · 6
Witt group → L-groups, L-groups L2k, L0, L2, The, Witt
related to Ring structure · 4
Witt group → The Witt, This, To, Witt

Important terminology Word statistics

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Important terminology

witt ring field group forms quadratic homomorphism ideal form grothendieck zbl elements local discriminant isbn symmetric one classes 2z fields

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Witt grouprelated to DefinitionFix0.60section
Witt grouprelated to DefinitionAll0.60section
Witt grouprelated to DefinitionTwo0.60section
Witt grouprelated to DefinitionEach0.60section
Witt grouprelated to DefinitionWitt0.60section
Witt grouprelated to DefinitionThe Witt0.60section
Witt grouprelated to DefinitionIt0.60section
Witt grouprelated to DefinitionAlthough0.60section
Witt grouprelated to DefinitionZ/2Z0.60section
Witt grouprelated to Further readingBalmer0.60section
Witt grouprelated to Further readingPaul0.60section
Witt grouprelated to Further readingWitt0.60section

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    Min side: 3
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