Karim Johannes Becher, Pawel Gladki: Symbol Length and Stability Index


Submission: 2010, Dec 9

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.

2010 Mathematics Subject Classification: 11E04, 11E10, 11E81

Keywords and Phrases:

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