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math.GR2014★ 14 cited
Lagrange's Theorem for Gyrogroups and the Cauchy Property
Teerapong Suksumran, Keng Wiboonton
In this paper, we prove a version of Lagrange's theorem for gyrogroups and use this result to prove that gyrogroups of particular orders have the strong Cauchy property.
math.GR2014★ 69 cited
Isomorphism Theorems for Gyrogroups and L-Subgyrogroups
Teerapong Suksumran, Keng Wiboonton
We extend well-known results in group theory to gyrogroups, especially the isomorphism theorems. We prove that an arbitrary gyrogroup induces the gyrogroup structure on the sym…