Publikation: Symbol length and stability index
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2012
Autor:innen
Gładki, Paweł
Herausgeber:innen
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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.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Symbol length, Stability index, Quadratic forms, Pythagorean fields, Abstract Witt ring, Milnor K-theory
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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.2011.12.027BibTex
@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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