Analytical, finite and quasi-group loops

• Grant number: 11/51845-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2012
• End date: 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)

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)

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, AUG 2014. (11/51845-5)

SUHOV, YURI; STUHL, IZABELLA; SEKEH, SALIMEH YASAEI; KELBERT, MARK. Basic inequalities for weighted entropies. AEQUATIONES MATHEMATICAE, v. 90, n. 4, p. 817-848, AUG 2016. (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, MAR 2015. (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, DEC 2 2018. (11/51845-5, 15/17611-8)

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., 2014-08-01. (11/51845-5)

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)

STUHL, IZABELLA. Moufang's theorem for non-Moufang loops. AEQUATIONES MATHEMATICAE, v. 90, n. 2, p. 329-333, APR 2016. (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, FEB 2018. (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, AUG 2014. (11/51845-5, 11/20133-0)

MAZEL, A.; SUHOV, Y.; STUHL, I.. A Classical WR Model with Particle Types. Journal of Statistical Physics, v. 159, n. 5, p. 1040-1086, JUN 2015. (11/51845-5)

STUHL, IZABELLA. Oriented Steiner quasigroups. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 13, n. 8, DEC 2014. (11/51845-5)