Asymptotic Methods in Infinite Groups and Algebras

University Of California-San Diego, La Jolla CA

Investigators

Abstract

The PI intends to study Golod-Shafarevich groups and algebras and their interactions with amenability and tau-property. The PI will also continue his work on linearity of free pro-p groups and Jordan superalgebras. The expected results of the project will affect several branches of Algebra, Topology and Theoretical Computer Science. The new areas of algebra that will hopefully evolve from the work on the project will create good research opportunities for young mathematicians and provide excellent material for graduate courses.