Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Zassenhaus Lemma for Digroups

Version 1 : Received: 23 August 2024 / Approved: 26 August 2024 / Online: 26 August 2024 (20:10:00 CEST)

How to cite: Biyogmam, G. A Zassenhaus Lemma for Digroups. Preprints 2024, 2024081857. https://doi.org/10.20944/preprints202408.1857.v1 Biyogmam, G. A Zassenhaus Lemma for Digroups. Preprints 2024, 2024081857. https://doi.org/10.20944/preprints202408.1857.v1

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.

Subject

Computer Science and Mathematics, Mathematics

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