On subloops of the loop of invertible elements of the split Cayley–Dickson algebra over a field that contain a subloop of transvections

DOI10.1080/00927872.2021.1998826zbMath1491.20149OpenAlexW3216994974MaRDI QIDQ5067676

Evgenii L. Bashkirov

Publication date: 4 April 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1998826

zbMATH Keywords

Moufang loopsalternative algebras

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02)

Related Items

Unnamed Item

Cites Work

• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• Subgroups isomorphic to \(G_2(L)\) in orthogonal groups
• On subgroup of the special linear group of degree 2 over an infinite field
• A Class of Simple Moufang Loops
• Generators for finite simple Moufang loops
• Moufang Loops of Small Order. I
• On subloops of the loop of invertible elements in the split Cayley–Dickson algebra over a field
• Generators of nonassociative simple Moufang loops over finite prime fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item