3 citations · 3 across the 5 of their papers we have counts for
6 papers
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…
Alternative -algebras and ${\mit Γ}$-algebras
Alexandre Grishkov, Ivan Shestakov
Recently V.H.López Solís and I.Shestakov solved an old problem by N.Jacobson on describing of unital alternative algebras containing the matrix algebra as a unita…
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 called a r…
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…