3 citations · 3 across the 5 of their papers we have counts for
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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…
The half-automorphism group of code loops
Dylene Agda Souza de Barros, Alexandre Grishkov, Rosemary Miguel Pires +1
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-au…
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 , we ask which doubly even binary code produces . In this sense, is ca…
Half-isomorphisms of finite automorphic Moufang loops
A. Grishkov, M. L. Merlini Giuliani, M. Rasskazova +1
We show that each half-automorphism of a finite automorphic Moufang loop is trivial. In general this is not true for finite left automorphic Moufang loops and for finite automorphi…