Restricted Burnside problem, reductive Moufang Loops and their tangent algebras

• Grant number: 19/24418-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 06, 2020
• End date: August 23, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Liudmila Sabinina
• Visiting researcher institution: Universidad Nacional Autónoma de México, Morelia (UNAM), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

1. We plan to advance in research on the theme of Restricted Burnside Problemfor Moufang loops(in colaboration with A.Grishkov (IME USP,Brazil)and E. Zelmanov (USCD, USA)2. Study the Burnside Problem for diassociative loops and Bol loops. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GRISHKOV, ALEXANDER; RASSKAZOVA, MARINA; SABININA, LIUDMILA; SALIM, MOHAMED. On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops. Journal of Algebra, v. 575, p. 67-77, JUN 1 2021. (19/24418-0, 18/23690-6, 18/11292-6)

GRISHKOV, ALEXANDER; SABININA, LIUDMILA; ZELMANOV, EFIM. The restricted Burnside problem for Moufang loops. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v. 173, n. 1, p. 11-pg., 2021-07-16. (19/24418-0)