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Essential dimension of simple algebras with involutions

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Publication:2893275
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DOI10.1112/blms/bdr120zbMath1254.16013arXiv1008.2406OpenAlexW2158305059MaRDI QIDQ2893275

Sanghoon Baek

Publication date: 19 June 2012

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2406


zbMATH Keywords

Brauer groupsinvolutionscentral simple algebrasfields of definitioncyclic algebrasessential dimensioncategories of field extensionstranscendence degreesessential \(2\)-dimension


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Integral representations of finite groups (20C10) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Galois cohomology of linear algebraic groups (11E72)


Related Items (5)

Essential dimension: a survey ⋮ Essential \(p\)-dimension of split simple groups of type \(A_n\) ⋮ Essential dimension ⋮ Essential dimension of simple algebras in positive characteristic. ⋮ Essential Dimension of Projective Orthogonal and Symplectic Groups of Small Degree




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