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arXiv · 2601.02355

The half-automorphism group of code loops

Dylene Agda Souza de Barros·Alexandre Grishkov·Rosemary Miguel Pires·Marina Rasskazova
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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 $3$.

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Dylene Agda Souza de Barros, Alexandre Grishkov, Rosemary Miguel Pires, Marina Rasskazova. 2026-01-05. The half-automorphism group of code loops. https://arxiv.org/abs/2601.02355

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