The half-automorphism group of code loops

The half-automorphism group of code loops Full article

Journal

International Journal of Algebra and Computation
ISSN: 0218-1967 , E-ISSN: 1793-6500

Output data

Year: 2026, Pages: 1-15 Pages count : 15 DOI: 10.1142/s0218196726500220

Tags

Code loops; half-automorphism group; elementary mappings

Authors

De Barros Dylene Agda Souza ¹ , Grishkov Alexander ^2,3 , Pires Rosemary Miguel ⁴ , Rasskazova Marina ^5,6

Affiliations

1	Instituto de Matemática e Estatística, Universidade Federal de Uberlândia, 38408-100 Uberlândia, Minas Gerais, Brazil
2	Instituto de Matemática e Estatística, Universidade de São Paulo, 05508-090 São Paulo-SP, Brazil
3	Sobolev Institute of Mathematics, 644043 Omsk, Russia
4	Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal Fluminense, 27213-145 Volta Redonda, Rio de Janeiro, Brazil
5	Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09280-560 Santo André, São Paulo, Brazil
6	Siberian State Automobile and Highway University, 644080 Omsk, Omsk Oblast, Russia

Funding (1)

Министерство науки и высшего образования РФ

FWNF-2026-0033

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.

De Barros D.A.S. , Grishkov A. , Pires R.M. , Rasskazova M.
The half-automorphism group of code loops
International Journal of Algebra and Computation. 2026. P.1-15. DOI: 10.1142/s0218196726500220 OpenAlex

Submitted:	Sep 2, 2025
Accepted:	Feb 12, 2026
Published online:	Mar 19, 2026

≡ OpenAlex:

W7134052189