A Zassenhaus Lemma for Digroups

Guy Roger Biyogmam ()
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Guy Roger Biyogmam: Department of Mathematics, College of Arts & Sciences, Georgia College & State University, 231 W Hancock St, Milledgeville, GA 31061, USA

Mathematics, 2024, vol. 12, issue 19, 1-8

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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