A note on a class of gyrogroups
Abstract
In 1, a class of gyrogroups (G,) has been associated to certain groups (G,·). We give a necessary and sufficient condition for (G,) to be gyrocommutative. We also prove that under a suitable assumption two finite groups central by a 2-Engel group are isomorphic if and only if their associated gyrogroups are isomorphic.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.