A study of units in algebras and group theory

• Grant number: 10/08425-2
• Support Opportunities: Scholarships abroad - Research
• Start date: August 30, 2010
• End date: August 29, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Orlando Stanley Juriaans
• Grantee: Orlando Stanley Juriaans
• Host Investigator: Eric Jespers
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Vrije Universiteit Brussel (VUB), Belgium

Abstract

We will continue our research with Eric Jespers,,started in 1997. Since then we advanced considerably in the description of the unit group of a group ring. We will continue to study hiperbolicity of the unit group, units in general and also the classification of those groups whose automorphisms og subgroups extend to the whole group. (AU)