1 citations · 1 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Code loops: automorphisms and representations
Alexandre Grichkov, Rosemary M. Pires
In this work we construct free Moufang loop in the variety generated by code loops. We apply this construction for study the code loops. Moreover, we define and determine all basic…