Group identities on symmetric units in group algebras

• Grant number: 13/23084-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 29, 2014
• End date: March 26, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Francisco Cesar Polcino Milies
• Grantee: Francisco Cesar Polcino Milies
• Visiting researcher: Sudarshan Kumar Sehgal
• Visiting researcher institution: University of Notre Dame, United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We intend to continue our research project which has been successfully developed over a number of year on the properties of group algebras endowed with an involution induced linearly by an involution of the given group. In this visit we shall study necessary and sufficient conditions for the set of symmetric uits to satisfy a group identity. (AU)