The half-automorphism group of code loops

International Journal of Algebra and Computation 2026 Open access

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Authors: Dylene Agda Souza de Barros, ALEXANDER N. GRISHKOV, Rosemary Miguel Pires, Marina Rasskazova
DOI: 10.1142/s0218196726500220
Cited by: 0
References: 12

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 act 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 Advanced Topics in Algebra

Publication details

Journal / source
International Journal of Algebra and Computation
Volume
36
Issue
06
Pages
625–639
Publication date
6 March 2026
Language
EN