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Criteria for wild nearfields

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Publication:311049
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DOI10.1515/jgth-2016-0023zbMath1365.12007OpenAlexW2442800238MaRDI QIDQ311049

Matthias Grüninger

Publication date: 28 September 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0023

zbMATH Keywords

nearfieldDickson nearfield


Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups with a (BN)-pair; buildings (20E42) Other matrix groups over fields (20H20) Non-Desarguesian affine and projective planes (51A35) Near-fields (12K05) Multiply transitive infinite groups (20B22)


Related Items

New examples of wild nearfields via regular matrix groups over skew polynomial rings



Cites Work

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  • Free products and wild nearfields à la B. H. Neumann and Hans Zassenhaus
  • Wild nearfields of dimension 2 over rational function fields
  • Ordered fields with the dense orbits property
  • Forms of the generic norm of a separable Jordan algebra
  • A criterion for infinite non-Dickson nearfields of dimension two
  • Some new results on ordered fields
  • On Frobenius groups. II: Universal completion of nearfields of finite degree over a field of reference
  • Five wild nearfields
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