Transitive linear groups and nearfields with solubility conditions

DOI10.1016/0021-8693(87)90195-5zbMath0612.12020OpenAlexW1980574170MaRDI QIDQ1087923

Theo Grundhöfer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90195-5

zbMATH Keywords

vector spaceskew fieldDickson nearfieldsoluble multiplicative grouptransitive field

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Near-fields (12K05)

Related Items (3)

Quantoren-Elimination bei Fastkörpern. (Elimination of quantifiers in nearfields) ⋮ A criterion for infinite non-Dickson nearfields of dimension two ⋮ Sharply transitive linear algebraic groups

Cites Work

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• Zweifach transitive, auflösbare Permutationsgruppen
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Ein Zassenhauskriterium für unendliche Fastkörper
• Topological planes
• Free subgroups in linear groups
• On certain classes of infinite solvable groups
• On the Multiplicative Group of a Division Ring
• Maximal Abelian Subgroups of the Symmetric Groups
• A Generalization of the Cartan-Brauer-Hua Theorem
• A Theorem on Division Rings

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