The half-automorphism group of code loops

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Dylene Agda Souza de Barros, Alexandre N. Grishkov, Rosemary Miguel Pires, Marina Rasskazova
Cited by: 0

Abstract

For any code loop $L$, we prove that the half-automorphism group of $L$ is the product of the automorphism group of $L$ by an elementary abelian $2-$group consisting of all half-automorphisms that acts as the identity on a fixed basis. Also, we prove that elementary mappings only can be a half-automorphism on code loops of rank at most $3$.

Fields of Study & Subjects

Mathematics and Applications Finite Group Theory Research graph theory and CDMA systems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
5 January 2026
Document type
Preprint