Teerapong Suksumran
Department of Mathematics, North Dakota State University
[ 1 ] - Special Subgroups of Gyrogroups: Commutators, Nuclei and Radical
A gyrogroup is a nonassociative group-like structure modelled on the space of relativistically admissible velocities with a binary operation given by Einstein's velocity addition law. In this article, we present a few of groups sitting inside a gyrogroup G, including the commutator subgyrogroup, the left nucleus, and the radical of G. The normal closure of the commutator subgyr...
[ 2 ] - Bi-Gyrogroup: The Group-Like Structure Induced by Bi-Decomposition of Groups
The decomposition $Gamma=BH$ of a group $Gamma$ into a subset B and a subgroup $H$ of $Gamma$ induces, under general conditions, a group-like structure for B, known as a gyrogroup. The famous concrete realization of a gyrogroup, which motivated the emergence of gyrogroups into the mainstream, is the space of all relativistically admissible velocities along with a binary mbox{...
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