On commutator-inversion invariant groups and gyrogroup construction

DOI10.1142/s0219498824500427zbMath1528.20105OpenAlexW4303449216MaRDI QIDQ6088884

Teerapong Suksumran

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498824500427

zbMATH Keywords

commutatorgyrogroupgyrotriple2-Engel groupcommutator-inversion invariant group

Mathematics Subject Classification ID

Nilpotent groups (20F18) Loops, quasigroups (20N05)

Cites Work

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• On Bol loops of exponent 2.
• On twisted subgroups and Bol loops of odd order.
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Involutory decomposition of groups into twisted subgroups and subgroups
• A note on a class of gyrogroups
• Construction of New Gyrogroups and the Structure of their Subgyrogroups
• Gyrogroups in Projective Hyperbolic Clifford Analysis
• Involutive groups, unique 2-divisibility, and related gyrogroup structures
• Gyrogroups and the decomposition of groups into twisted subgroups and subgroups.