On subloops of the loop of invertible elements in the split Cayley–Dickson algebra over a field

DOI10.1080/00927872.2020.1838531zbMath1479.20048OpenAlexW3117717020MaRDI QIDQ5856775

Evgenii L. Bashkirov

Publication date: 29 March 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1838531

zbMATH Keywords

Moufang loopsoctonionsalternative algebrassubloops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items

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

Cites Work

• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• Maximal subalgebras of the octonions
• On subgroup of the special linear group of degree 2 over an infinite field
• A Class of Simple Moufang Loops
• The classification of finite simple Moufang loops
• Generators for finite simple Moufang loops
• Generators of nonassociative simple Moufang loops over finite prime fields
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