Crossed products and filtered multiplicative basis

• Grant number: 13/18318-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 19, 2013
• End date: December 26, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Alexandre Grichkov
• Grantee: Alexandre Grichkov
• Visiting researcher: Victor Bovdi
• Visiting researcher institution: University of Debrecen (UD), Hungary
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

1. Study the crossed product which are solvable as Lie algebras. 2. Study the group of normalized units for finite abelian 2-groups. 3. Study of groups algebras in the case of finite p-groups and estimate its nilpotent class. 4. Describe the p-universal algebras for nilpotent Lie algebras with multiplicative bases. (AU)