Involutions of type \(\mathrm{G}_{2}\) over fields of characteristic two

DOI10.1007/S10468-017-9723-YzbMath1435.20028OpenAlexW2736280282MaRDI QIDQ1653402

John Hutchens, Nathaniel Schwartz

Publication date: 3 August 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-017-9723-y

zbMATH Keywords

algebraic groupssymmetric spacesquadratic formsinvolutionsoctonionsexceptional groupssymmetric \(k\)-varieties

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Exceptional groups (20G41)

Related Items (2)

Correction to: ``Involutions of type \(\mathrm{G}_2\) over fields of characteristic two ⋮ On involutions of type \(\mathrm{O}(q,k)\) over a field of characteristic two

Cites Work

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• Total linkage of quaternion algebras and Pfister forms in characteristic two
• The chain equivalence of totally decomposable orthogonal involutions in characteristic two
• Composition algebras and their automorphisms
• Lower bounds for essential dimensions in characteristic 2 via orthogonal representations
• On the classification of \(k\)-involutions
• Moufang sets arising from polarities of Moufang planes over octonion division algebras
• Orthogonal Pfister involutions in characteristic two
• A characterization of the groups \(G_2(2^{n})\)
• Isomorphy classes of k-involutions of G₂
• Involutions in Chevalley groups over fields of even order
• Quadratic forms and Pfister neighbors in characteristic 2

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