Characterization of Uniform Pro-p Groups

Abstract

Uniform pro-p groups have been studied extensively by Lazard in his seminal paper Groupes analytiques p-adiques (1965). Since then, many approaches have been developed to characterize various families of pro-p groups. The techniques involve- Lie theoretic methods, purely group theoretic methods and cohomological methods. In this project, we survey what is known towards characterising powerful pro-p groups and Uniform pro-p groups, primarily using Group Theoretic Methods