Finite geometries, its automorphisms and related algebraic systems.

• Grant number: 15/17611-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: December 01, 2015
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Diana Rasskazova
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The main object of the Project is to recieve significant results about finite geometries with three points on any line. In particulary:1) we want to study finite geometries and corresponding free loops and thier automorphisms,2) describe the arbitrary (and central)extentions of those loops,3) describe the Steiner loops, corresponding to geometries with three points on the line, with minimal function of growth.

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, 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)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

RASSKAZOVA, Diana. Finite geometries and related loops and quasigroups. 2018. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.