The half-automorphism group of code loops
Group Theory
2026-01-06 v1
Abstract
For any code loop , we prove that the half-automorphism group of is the product of the automorphism group of by an elementary abelian 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 .
Cite
@article{arxiv.2601.02355,
title = {The half-automorphism group of code loops},
author = {Dylene Agda Souza de Barros and Alexandre Grishkov and Rosemary Miguel Pires and Marina Rasskazova},
journal= {arXiv preprint arXiv:2601.02355},
year = {2026}
}
Comments
13 pages, 2 tables. Research article