Sums of squares in division algebras

DOI10.1007/BF01160457zbMath0548.16019OpenAlexW1984075028MaRDI QIDQ799778

Adrian R. Wadsworth, David B. Leep, Daniel B. Shapiro

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173617

zbMATH Keywords

inner automorphismssums of squaresGalois groupcrossed productquaternion algebradivision algebracentral simple F- algebraF-automorphismGalois maximal subfield

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Quadratic forms over general fields (11E04) Automorphisms and endomorphisms (16W20) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

The waring problem for matrices, The level of division algebras over local and global fields, Indecomposable forms of higher degree, Quadratic Forms, Trace form preservers

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