Symbol length and stability index

Becher, Karim Johannes; Gładki, Paweł

Symbol length and stability index

Dateien

becher_symbol.pdfGröße: 127 KBDownloads: 523

Datum

2012

Autor:innen

Becher, Karim Johannes

Gładki, Paweł

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027

Zusammenfassung

We show that a Pythagorean field (more generally, a reduced abstract Witt ring) has finite stability index if and only if it has finite 2-symbol length. We give explicit bounds for the two invariants in terms of one another. To approach the question whether those bounds are optimal we consider examples of Pythagorean fields.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Symbol length, Stability index, Quadratic forms, Pythagorean fields, Abstract Witt ring, Milnor K-theory

Zitieren

ISO 690

BECHER, Karim Johannes, Paweł GŁADKI, 2012. Symbol length and stability index. In: Journal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027

BibTex

@article{Becher2012Symbo-18698,
  year={2012},
  doi={10.1016/j.jalgebra.2011.12.027},
  title={Symbol length and stability index},
  number={1},
  volume={354},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={71--76},
  author={Becher, Karim Johannes and Gładki, Paweł}
}

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