Division algebras with a projective basis

DOI10.1007/BF02802503zbMath0978.16027OpenAlexW1982658149MaRDI QIDQ5937676

Darrell E. Haile, Eli Aljadeff

Publication date: 23 January 2002

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

Full work available at URL: https://doi.org/10.1007/bf02802503

zbMATH Keywords

Schur algebrascentral simple algebrasquaternion algebrastwisted group algebrascommutator subgroupsdivision algebrasprojective basessymbol algebrastensor products of cyclic algebras

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Related Items (4)

Division algebras graded by a finite group ⋮ Projective bases of division algebras and groups of central type. II. ⋮ Graded identities of matrix algebras and the universal graded algebra ⋮ Projective bases of division algebras and groups of central type.

Cites Work

• The projective Schur subgroup of the Brauer group and root groups of finite groups
• Einfache Algebren und projektive Darstellungen über Zahlkörpern
• Projective representations and relative semisimplicity
• Projective Schur division algebras are abelian crossed products
• Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras
• Projective Schur algebras have Abelian splitting fields
• On the projective Schur group of a field
• Exponent reduction for radical Abelian algebras
• Abelian binomials, power residues and exponential congruences
• The finite inner automorphism groups of division rings
• Finite Subgroups of Division Rings
• Unnamed Item

This page was built for publication: Division algebras with a projective basis