A twisted Laurent series ring that is a noncrossed product.

DOI10.1007/BF02762379zbMath1123.16017arXivmath/0703038MaRDI QIDQ2382257

Timo Hanke

Publication date: 28 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0703038

zbMATH Keywords

MAGMAouter automorphismsnoncrossed productsnorm equationsexplicit examplescomputational aspects of central simple algebrascubic cyclic division algebrastwisted Laurent series rings

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Algebraic number theory computations (11Y40) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Related Items

Galois subfields of tame division algebras., MAL'CEV–NEUMANN RINGS AND NONCROSSED PRODUCT DIVISION ALGEBRAS, Galois subfields of inertially split division algebras., Unnamed Item, Open problems on central simple algebras., On absolute Galois splitting fields of central simple algebras, High-rate space-time block codes from twisted Laurent series rings

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• On central division algebras
• A Direct Approach to Noncrossed Product Division Algebras
• Noncrossed Products and Nonabelian Crossed Products Over ℚ(T) and ℚ((T))
• An explicit example of a noncrossed product division algebra
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