The u-invariant of fields with 16 and 32 square classes I

Bronisława Błaszczyk

Annales Polonici Mathematici (1980)

  • Volume: 38, Issue: 1, page 1-12
  • ISSN: 0066-2216

Abstract

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We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.

How to cite

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Bronisława Błaszczyk. "The u-invariant of fields with 16 and 32 square classes I." Annales Polonici Mathematici 38.1 (1980): 1-12. <http://eudml.org/doc/263705>.

@article{BronisławaBłaszczyk1980,
abstract = {We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.},
author = {Bronisława Błaszczyk},
journal = {Annales Polonici Mathematici},
keywords = {u-invariant; anisotropic quadratic form},
language = {eng},
number = {1},
pages = {1-12},
title = {The u-invariant of fields with 16 and 32 square classes I},
url = {http://eudml.org/doc/263705},
volume = {38},
year = {1980},
}

TY - JOUR
AU - Bronisława Błaszczyk
TI - The u-invariant of fields with 16 and 32 square classes I
JO - Annales Polonici Mathematici
PY - 1980
VL - 38
IS - 1
SP - 1
EP - 12
AB - We discuss here the conjectures of Kaplansky and of Lam concerning the ii-univariant of a field of characteristic different from two. Both conjectures are shown t.o hold true for any field having at most 32 square classes.
LA - eng
KW - u-invariant; anisotropic quadratic form
UR - http://eudml.org/doc/263705
ER -

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