MULTIPLICATION GROUPS AND INNER MAPPING GROUPS OF CAYLEY–DICKSON LOOPS

DOI10.1142/S0219498813500783zbMath1296.20063arXiv1207.4230OpenAlexW2962910897MaRDI QIDQ5746966

Jenya Kirshtein

Publication date: 11 February 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4230

zbMATH Keywords

sedenionsoctonionsinner mapping groupsmultiplication groupsCayley-Dickson loopsCayley-Dickson doubling process

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Loops, quasigroups (20N05) Composition algebras (17A75) Other nonassociative rings and algebras (17D99)

Related Items (2)

Octonion polynomials with values in a subalgebra ⋮ The multiplicative loops of Jha-Johnson semifields

Cites Work

• Unnamed Item
• Unnamed Item
• Automorphism groups of Cayley-Dickson loops.
• Loops whose inner mappings are automorphisms
• Cayley-Dickson algebras and loops
• The structure of commutative automorphic loops
• The octonions
• A Note on Cayley Loops

This page was built for publication: MULTIPLICATION GROUPS AND INNER MAPPING GROUPS OF CAYLEY–DICKSON LOOPS