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In this era of an increased interest in loop theory, the Einstein velocityaddition law has fresh resonance. One of the most fascinating aspects of recentwork in Einstein's special theory of relativity is the emergence of specialgrouplike loops. The special grouplike loops, known as gyrocommutativegyrogroups, have thrust the Einstein velocity addition law, which previouslyhas operated mostly in the shadows, into the spotlight.

Gyrogroups, the Grouplike Loops in the Service of Hyperbolic Geometry and Einstein's Special Theory of Relativity