Kummer subfields of Malcev-Neumann division algebras

DOI10.1007/BF02761120zbMath0564.16015MaRDI QIDQ1057966

S. A. Amitsur, Jean-Pierre E. Tignol

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

crossed productskew fieldmaximal subfieldselementary abelian Galois groupMalcev-Neumann constructionabelian splitting groupsKummer subfieldsuniversal division algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras, Galois cohomology of fields without roots of unity, Malcev-neumann group rings, Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Totally Ramified Valuations on Finite-Dimensional Division Algebras, Kummer subfields of tame division algebras, Division algebra subfields introduced by an indeterminate, Hasse invariant for the tame Brauer group of a higher local field, Kummer subfields of tame division algebras over Henselian fields., Baer ordered *-fields of the first kind, Locally solvable maximal subgroups in division rings, Unnamed Item, ON GENERALIZED GRADED CROSSED PRODUCTS AND KUMMER SUBFIELDS OF SIMPLE ALGEBRAS, Galois splitting fields of a universal division algebra, Symplectic modules, Open problems on central simple algebras., Value Functions on Central Simple Algebras, Division algebras over Henselian fields., Prime to \(p\) extensions of division algebras, Alternating forms and the Brauer group of a geometric field

Cites Work

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• Totally ramified splitting fields of central simple algebras over Henselian fields
• Produits croises Abeliens
• PI-algebras. An introduction
• Cyclic algebras, complete fields, and crossed products
• Noncrossed product p-algebras and Galois p-extensions
• Sur l'analysis situs des variétés à \(n\) dimensions
• Quadratic forms on finite groups, and related topics
• On central division algebras
• Dihedral Algebras are Cyclic
• Splittings of Cyclic p-Algebras
• Division algebras. A survey
• A note on normal division algebras of prime degree
• On Ordered Division Rings
• The Second Homology Group of a Group; Relations among Commutators
• Symplectic modules