Open AccessAlbert division algebras in characteristic three contain cyclic cubic subfields
Author(s) -
Holger P. Petersson
Publication year - 1999
Publication title -
archiv der mathematik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.577
H-Index - 43
eISSN - 1420-8938
pISSN - 0003-889X
DOI - 10.1007/s000130050300
Subject(s) - mathematics , division (mathematics) , combinatorics , pure mathematics , arithmetic
It is shown that a finite-dimensional absolutely simple nonsingular Jordan division algebra of degree 3 over a field containing the third roots of unity admits a cyclic cubic subfield.
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