28 citations · 73 across the 20 of their papers we have counts for
24 papers
Bol loops of order 27
Alexander Grishkov, Michael Kinyon, Petr Vojtěchovský
We classify Bol loops of order , using a combination of theoretical results and computer search. There are Bol loops of order , including five groups. New construction…
Free Bol loops of exponent two
Alexandre Grishkov, Marina Rasskazova, Giliard Souza dos Anjos
A Bol loop is a loop that satisfies the identity . In this paper, we give a construction of the free Bol loops of exponent two. We define a canonical form of all…
On simple -dimensional Lie algebras in characteristic
Alexander Grishkov, Henrique Guzzo, Marina Rasskazova +1
Motivated by the recent progress towards classification of simple finite-dimensional Lie algebras over an algebraically closed field of characteristic , we investigate such …
The Restricted Burnside Problem for Moufang Loops
Alexander Grishkov, Liudmila Sabinina, Efim Zelmanov
We prove that for positive integers and a prime number there are finitely many finite -generated Moufang loops of exponent .
On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops
Alexander Grishkov, Marina Rasskazova, Liudmila Sabinina +1
In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers , which are nilpotent module its Lie center. It is proved that…
Automorphic loops arising from module endomorphisms
Alexandr Grishkov, Marina Rasskazova, Petr Vojtěchovský
A loop is automorphic if all its inner mappings are automorphisms. We construct a large family of automorphic loops as follows. Let be a commutative ring, an -module, $E…