Moufang loops and related groups

• Grant number: 12/11068-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 21, 2012
• End date: August 03, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Liudmila Sabinina
• Visiting researcher institution: Universidad Autónoma del Estado de Morelos (UAEM), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

1. Discribe the structure of tangent algebra corresponding to left automorphic Moufang loop. 2. Dicsribe the structure of finite automorphic Moufang loops. 3. Study the class of di-associative and Moufang loops with normal loop-algebra correspondente. (AU)

Scientific publications

(4)

(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. On the structure of automorphic Moufang loops. PUBLICATIONES MATHEMATICAE-DEBRECEN, v. 88, n. 3-4, p. 261-267, 2016. (12/11068-2)

GRISHKOV, A.; PLAUMANN, P.; RASSKAZOVA, M.; SABININA, L.. Half-automorphisms of free automorphic moufang loops. MATHEMATICAL NOTES, v. 98, n. 1-2, p. 325-327, JUL 2015. (12/11068-2)

PLAUMANN, P.; SABININA, L.; STUHL, I.. The Cayley graph and the growth of Steiner loops. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, v. 55, n. 4, p. 6-pg., 2014-01-01. (11/51845-5, 12/11068-2)

GRISHKOV, A.; MERLINI GIULIANI, M. L.; RASSKAZOVA, M.; SABININA, L.. Half-isomorphisms of Finite Automorphic Moufang Loops. COMMUNICATIONS IN ALGEBRA, v. 44, n. 10, p. 4252-4261, 2016. (12/11068-2)