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Moufang loops and related groups

Grant number: 12/11068-2
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: August 21, 2012 - 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)

Articles published in Agência FAPESP Newsletter about the research grant:
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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, . (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, . (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., . (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, . (12/11068-2)

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