The half-automorphism group of code loops

doi:10.1142/S0218196726500220

The half-automorphism group of code loops

2026-03-01

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AI

D

De Barros, Dylene Agda Souza *

A

Alexander Grishkov

R

Rosemary Miguel Pires

R

Rasskazova, Marina

DOI：10.1142/S0218196726500220

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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.

Keywords:

Code loops

half-automorphism group

elementary mappings

The half-automorphism group of code loops

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