A. Grishkov

collaborators

3 papers

math.GR2026

Construction of groups with triality and their corresponding code loops

Rosemary Miguel Pires, Alexandre Grishkov, Rodrigo Lucas Rodrigues +1

We generalize the global construction of code loops introduced by Nagy, which is based on the connection between Moufang loops and groups with triality. This follows from the const…

math.GR2026

The half-automorphism group of code loops

Dylene Agda Souza de Barros, Alexandre Grishkov, Rosemary Miguel Pires +1

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-au…

math.GR2026

Representations of code loops by binary codes

Rosemary Miguel Pires, Alexandre Grishkov, Marina Rasskazova

Code loops are Moufang loops constructed from doubly even binary codes. Then, given a code loop $L$ , we ask which doubly even binary code $V$ produces $L$ . In this sense, $V$ is ca…