Automorphism Groups of Automorphic Loops

• Grant number: 12/21323-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2013
• End date: January 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Maria de Lourdes Merlini Giuliani
• Grantee: Giliard Souza dos Anjos
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

An automorphic loop or an A-loop, is a loop where every inner mapping is an automorphism.In this project we intend to find and identify the group of automorphisms of certain kinds of A-loops. Initially we will work with A-loops that do not satisfy the Moufang identities and therefore are not groups.

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)

MERLINI GIULIANI, MARIA DE LOURDES; DOS ANJOS, GILIARD SOUZA. On the structure of the automorphism group of certain automorphic loop. COMMUNICATIONS IN ALGEBRA, v. 45, n. 5, p. 2245-2255, 2017. (12/21323-0)