Radicability condition on GLn(D)

DOI10.1142/S0219498818502031zbMath1404.16017OpenAlexW2766169215MaRDI QIDQ4644374

Hossein Moshtagh, R. Fallah-Moghaddam

Publication date: 4 January 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818502031

zbMATH Keywords

division algebrafieldradicable group

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) General field theory (12E99)

Cites Work

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• On maximal subgroups of the multiplicative group of a division algebra.
• Structure of the \(n\)th roots of a matrix
• Maximal subgroups of \(\text{GL}_n(D)\)
• Nontriviality of certain quotients of \(K_1\) groups of division algebras.
• Division Algebras with Radicable Multiplicative Groups
• A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD
• Multiplicative groups of division rings
• Brauer groups of fields
• Some Theorems On Matrices With Real Quaternion Elements
• Divisible multiplicative groups of fields

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