Polarities and planar collineations of Moufang planes

DOI10.1007/s00605-012-0409-6zbMath1281.51003OpenAlexW2096633657MaRDI QIDQ1942324

Norbert Knarr, Markus Johannes Stroppel

Publication date: 18 March 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0409-6

zbMATH Keywords

automorphismconjugacytranslation planepolarityalternative algebraMoufang planecomposition algebradivision algebrasemifieldautotopismBaer involutionoctonion field

Mathematics Subject Classification ID

Translation planes and spreads in linear incidence geometry (51A40) Non-Desarguesian affine and projective planes (51A35) Composition algebras (17A75) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Related Items

Transitive groups of similitudes generated by octonions, Heisenberg groups over composition algebras, Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras, Moufang sets arising from polarities of Moufang planes over octonion division algebras, Heisenberg groups, semifields, and translation planes, Embeddings of hermitian unitals into Pappian projective planes, Clifford parallelisms defined by octonions, Unnamed Item

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