Moufang Loops and Groups with Triality are Essentially the Same Thing

DOI10.1090/memo/1252zbMath1447.20002OpenAlexW2958796865MaRDI QIDQ5230265

Jonathan I. Hall

Publication date: 21 August 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/1252

zbMATH Keywords

equivalenceLatin squarequasigroupsMoufang loopsgroups with triality

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (3)

Incidence geometries with trialities coming from maps with Wilson trialities ⋮ Abelian congruences and solvability in Moufang loops ⋮ Transposition Algebras

Cites Work

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• Commutator theory for loops.
• Points and lines. Characterizing the classical geometries
• Sur la trialité et certains groupes qui s'en déduisent
• In honor of Hans Freudenthal on his eightieth birthday
• Oktaven, Ausnahmegruppen und Oktavengeometrie
• On collineation groups generated by Bol reflections
• Moufang loop multiplication groups with triality
• Alternativkörper und der Satz vom vollständigen Vierseit \((D_9)\)
• Zur Struktur von Alternativkörpern
• Solvable groups and loops
• Introduction to group theory. Translated from the Russian. With a new chapter.
• A characterization of the full wreath product.
• The smallest Moufang loop
• On loops of odd order
• On the geometry of algebraic homogeneous spaces
• Local identification of spherical buildings and finite simple groups of Lie type
• A simplified proof of Moufang’s theorem
• Diagram Geometry
• A Class of Simple Moufang Loops
• On Some Simple Groups Defined by C. Chevalley
• Construction of a family of Moufang loops
• The classification of finite simple Moufang loops
• Moufang loops of small order
• Simple Moufang loops
• Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
• Moufang Loops of Small Order. I
• SPLITTING AUTOMORPHISMS AND MOUFANG LOOPS
• GROUPS WITH TRIALITY
• Algebraic Homogeneous Spaces over Fields of Characteristic Two
• Projective Planes

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