A comparison of finiteness conditions in quadratic form theory

JOURNAL OF ALGEBRA AND ITS APPLICATIONS（2023）

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摘要

We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the u-invariant, the reduced stability index and the symbol lengths for Galois cohomology groups with coefficients in mu(2) = {+1,-1}, as well as a new invariant called the splitting height.

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关键词

u-invariant,Pfister form,Milnor K-theory,Galois cohomology,symbol length,real field,stability index,splitting height

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