A note on a class of gyrogroups

Marius Tărnăuceanu

A note on a class of gyrogroups

Group Theory 2018-02-13 v1

Authors: Marius Tărnăuceanu

Abstract

In \cite{1}, a class of gyrogroups $(G,\odot)$ has been associated to certain groups $(G,\cdot)$ . We give a necessary and sufficient condition for $(G,\odot)$ 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.

Keywords

finite group theory group theory wreath product of groups

Cite

@article{arxiv.1802.03550,
  title  = {A note on a class of gyrogroups},
  author = {Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:1802.03550},
  year   = {2018}
}

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