UNIQUELY 2-DIVISIBLE BOL LOOPS

DOI10.1142/S0219498810004129zbMath1219.20044arXiv0910.2429OpenAlexW2963385025MaRDI QIDQ4932798

Tuval Foguel, Michael K. Kinyon

Publication date: 7 October 2010

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

Full work available at URL: https://arxiv.org/abs/0910.2429

zbMATH Keywords

Moufang loopsBruck loopscentral nilpotencesimple loopsBol loopsprime exponent\(p\)-loopsBruck-Tarski monstersBurnside problem for loopsTarski monster groupsuniquely 2-divisible loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05)

Related Items (2)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Loops with exponent three in all isotopes

Cites Work

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• On Bol loops of exponent 2.
• Theory of K-loops
• On the extension of involutorial Bol loops
• On twisted subgroups and Bol loops of odd order.
• A class of simple proper Bol loops.
• On loops of odd order. II
• Nilpotence of finite Moufang 2-loops
• On loops of odd order
• A class of finite simple Bol loops of exponent 2
• Commutants of Bol loops of odd order
• When is the commutant of a Bol loop a subloop?

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