Asymptotic Methods in Infinite Groups and Algebras

PI打算研究Golod-Shafarevich群和代数以及它们与顺从性和tau性质的相互作用。 PI还将继续他的工作，自由亲p群和约旦超代数的线性。该项目的预期结果将影响代数，拓扑和理论计算机科学的几个分支。 代数的新领域，将有望从该项目的工作发展将创造良好的研究机会，为年轻的数学家，并提供优秀的材料，研究生课程。

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.