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Analytical, finite and quasi-group loops

Grant number: 11/51845-5
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): April 01, 2012
Effective date (End): December 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Alexandre Grichkov
Grantee:Izabella Stuhl
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

1. Study the automorphic loops (A-loops): a) classific the A-loops of order pA4 b) describe the nilpotent of class 4 A-loops and corresponding 3-algebras. c) study the extentions of quasi-groups and loops with given properties (AU)

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Scientific publications (11)
(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)
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)
MAZEL, A.; SUHOV, YU; STUHL, I.; ZOHREN, S.. Dominance of most tolerant species in multi-type lattice Widom-Rowlinson models. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 9-pg., . (11/51845-5)
GRISHKOV, ALEXANDER; RASSKAZOVA, DIANA; RASSKAZOVA, MARINA; STUHL, IZABELLA. Nilpotent Steiner loops of class 2. COMMUNICATIONS IN ALGEBRA, v. 46, n. 12, p. 5480-5486, . (11/51845-5, 15/17611-8)
SUHOV, YURI; STUHL, IZABELLA; SEKEH, SALIMEH YASAEI; KELBERT, MARK. Basic inequalities for weighted entropies. AEQUATIONES MATHEMATICAE, v. 90, n. 4, p. 817-848, . (11/51845-5)
GRISHKOV, ALEXANDER; RASSKAZOVA, DIANA; RASSKAZOVA, MARINA; STUHL, IZABELLA. Free Steiner triple systems and their automorphism groups. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 14, n. 2, . (11/51845-5)
MAZEL, A.; SUHOV, YU; STUHL, I.; ZOHREN, S.. Dominance of most tolerant species in multi-type lattice Widom-Rowlinson models. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, . (11/51845-5)
KELBERT, M.; STUHL, I.; SUHOV, Y.. Weighted entropy and optimal portfolios for risk-averse Kelly investments. AEQUATIONES MATHEMATICAE, v. 92, n. 1, p. 165-200, . (11/51845-5)
STUHL, IZABELLA. Oriented Steiner quasigroups. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 13, n. 8, . (11/51845-5)
MAZEL, A.; SUHOV, Y.; STUHL, I.. A Classical WR Model with Particle Types. Journal of Statistical Physics, v. 159, n. 5, p. 1040-1086, . (11/51845-5)
SUHOV, Y.; STUHL, I.. FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction. Journal of Mathematical Physics, v. 55, n. 8, . (11/51845-5, 11/20133-0)
STUHL, IZABELLA. Moufang's theorem for non-Moufang loops. AEQUATIONES MATHEMATICAE, v. 90, n. 2, p. 329-333, . (11/51845-5)

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