Variations on a theme of Glauberman

DOI10.1007/s00025-020-01249-6zbMath1492.12002OpenAlexW3042238006MaRDI QIDQ780051

Alessandro Siciliano, Tim Penttila

Publication date: 14 July 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01249-6

zbMATH Keywords

octonion algebraalternative division ringArtin-Zorn theorem

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15) Other nonassociative rings and algebras (17D99) Desarguesian and Pappian geometries (51A30)

Cites Work

• Bemerkung zu einem Satz von Glauberman
• Alternativkörper und der Satz vom vollständigen Vierseit \((D_9)\)
• Non-Desarguian geometries and the foundations of geometry from David Hilbert to Ruth Moufang
• Linear representations of projective planes in projective spaces
• Weakly closed elements of Sylow subgroups
• The construction of translation planes from projective spaces
• Completing Segre's proof of Wedderburn's little theorem
• Finite Power-Associative Division Rings
• A Sufficient Condition for p -Stability
• The Structure of Alternative Division Rings
• Alternative Division Rings of Characteristic 2
• On Nonassociative Division Algebras
• Right Alternative Division Rings of Characteristic Two
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