A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD

DOI10.1080/00927872.2011.584200zbMath1258.16024OpenAlexW1988250808MaRDI QIDQ2904715

M. Mahdavi-Hezavehi, Mehran Motiee

Publication date: 23 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.584200

zbMATH Keywords

crossed productscentral simple algebrassymbol algebrasunit groupscentral division algebrasreduced Whitehead groupsmultiplicative groupsnon-Abelian divisible groups

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Whitehead groups and (K_1) (19B99) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Radicability condition on GLn(D)

Cites Work

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• On the First Galois Cohomology Group of the Algebraic Group SL₁(D)
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