A Zassenhaus Lemma for Digroups

Abstract

In this paper, we construct a quotient structure on digroups. This construction yields a new functor from the category of digroups to the category of groups. We obtain a modular property for digroups and use it to prove an analogue of the Zassenhaus lemma in this framework.

Keywords

• digroup
• normal subdigroup
• Zassenhaus lemma